us-cities-2020-2030.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#  Which 3 US cities will see the largest raw increase in population over the 20s, as judged by the 2030 census?\n",
    "https://manifold.markets/market/which-3-us-cities-will-see-the-larg\n",
    "\n",
    "This is just a largest raw increase, not the fastest growing, so larger cities should have an advantage over smaller, fast growing cities.\n",
    "\n",
    "I will be using census places for cities.\n",
    "\n",
    "To try and predict this I will look at the following:\n",
    " - Of the past 10 year periods that we have data for, which cities appeared in the top 3 most frequently?\n",
    "    - Is it the same few cities over and over again?\n",
    " - Which cities have added the most population for the decade so far? (2020-2022)\n",
    "    - Do these cities frequently appear in the top 3? \n",
    " - Project the population using existing data to see which cities\n",
    "    - probably just do a naive linear projection (potentially could use logarithmic if results seem ridiculous)\n",
    "\n",
    " Then I will try to make a judgment call using the overall vibes that the data is giving me."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load Libraries and Environmental Variables\n",
    "Get your census key [here](https://api.census.gov/data/key_signup.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "\n",
    "import dotenv\n",
    "import pandas\n",
    "import requests"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "dotenv.load_dotenv()\n",
    "census_api_key = os.getenv(\"CENSUS_API_KEY\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get Data\n",
    "Get data from census API.  The 2005-2019,2021-2022 data is from the 1 year acs and the 2020 data is from the decennial census.  The ACS is a sample and has a margin of error, whereas the decennial census is a population count, but that shouldn't matter too much for this analysis.  It is possible to get more historic data from https://www.nhgis.org/, but this is a good start."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "acs_params = {\n",
    "    \"get\":\"NAME,B01001_001E\",\n",
    "    \"for\": \"place:*\",\n",
    "    \"key\": census_api_key,\n",
    "}\n",
    "dec_params = {\n",
    "    \"get\":\"NAME,P1_001N\",\n",
    "    \"for\": \"place:*\",\n",
    "    \"key\": census_api_key,\n",
    "}\n",
    "years = range(2005, 2023)\n",
    "data = {\n",
    "    year: requests.get(\n",
    "        url=(\n",
    "            f\"https://api.census.gov/data/{year}/acs/acs1\" \n",
    "            if year != 2020 \n",
    "            else f\"https://api.census.gov/data/{year}/dec/dhc\"\n",
    "        ),\n",
    "        params=acs_params if year != 2020 else dec_params,\n",
    "    ).json()\n",
    "    for year in years\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pandas.concat([\n",
    "    (\n",
    "        pandas.DataFrame(data=year_data[1:], columns=year_data[0])\n",
    "        .set_index([\"state\",\"place\", \"NAME\"])\n",
    "        .rename(columns={\"B01001_001E\": year, \"P1_001N\": year})\n",
    "        .apply(pandas.to_numeric)\n",
    "    )\n",
    "    for year, year_data in data.items()\n",
    "], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculate the change in population for each decade\n",
    "decade_change = pandas.concat([\n",
    "    (df[col + 10] - df[col]).rename(f\"change {col} to {col + 10}\")\n",
    "    for col in df.columns\n",
    "    if col + 10 in df.columns\n",
    "], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Rank the change in population for each decade\n",
    "rank = pandas.concat([\n",
    "    decade_change[col].dropna().sort_values(ascending=False).rank(ascending=False)\n",
    "    for col in decade_change.columns\n",
    "], axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What percentage of the time did each place rank in the top 3 for population change in each of the 8 decade periods?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "state  place  NAME                          \n",
       "48     35000  Houston city, Texas               6\n",
       "36     51000  New York city, New York           5\n",
       "48     27000  Fort Worth city, Texas            5\n",
       "       65000  San Antonio city, Texas           3\n",
       "       05000  Austin city, Texas                2\n",
       "04     55000  Phoenix city, Arizona             2\n",
       "37     12000  Charlotte city, North Carolina    1\n",
       "48     56000  Pasadena city, Texas              0\n",
       "06     60102  Redwood City city, California     0\n",
       "44     19180  Cranston city, Rhode Island       0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(rank <= 3).sum(axis=1).sort_values(ascending=False).head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='NAME'>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "(\n",
    "    rank\n",
    "    .loc[(rank <= 3).any(axis=1)]\n",
    "    .apply(lambda row: sum(row <= 3) / 8 * 100, axis=1)\n",
    "    .reset_index()\n",
    "    .set_index('NAME')[0]\n",
    "    .sort_values(ascending=True)\n",
    "    .tail(10)\n",
    "    .plot(kind='barh')\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Which cities have added the most population from 2020-2022?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 208,
   "metadata": {},
   "outputs": [],
   "source": [
    "pop_2020_2022 = (\n",
    "    (df[2022] - df[2020])\n",
    "    .reset_index()\n",
    "    .assign(rank=lambda x: x[0].sort_values(ascending=False).rank(ascending=False))\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='NAME'>"
      ]
     },
     "execution_count": 209,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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2JTw8XC1veHg4/v7+KBSKQusujtTUVDw8PHBycuLkyZPs3r2bv/76i86dOwPPb6qGDx9Oz549SUtL48yZM4wbN44VK1ZgYWEBQGZmJiNGjCA2Npb9+/ejoaFBu3btyM3NBWDRokVs27aNTZs2cenSJdauXat28/WirKws0tPT1TZBEARBED5dYvabt2Tz5s0MGDCAx48f4+zsjIeHB127dsXR0bHQY3766Se++uoreTQ3IiKCPn36cPXqVapWrQrA0qVLmTx5Mrdv3y60nL179+Ln50dKSgqamposWLCAn3/+mSNHjsh5PD09efbsmdpIsaurK40bN2bmzJlAwXHobm5u1KhRg++//15O69y5M5mZmezcuVM+bvz48UyZMgV43jk1MDBg165dtGjRgqioKLy8vLh//z7Gxsb4+fnx999/89tvv8llBgUFsXPnTs6fP1/gOTZs2BBra2vWrl1b4H4rKyuGDx/O8OHDCz2XTZs2MWjQIFJTU1EqlZw5c4Y6derwxx9/FNo5LkxSUhJVqlTh9OnTODk5MXHiRI4fP86ePXvkPLdu3cLS0pJLly5ha2tLdnY29evXp1q1apw/f54GDRqwYsWKQuv4+++/KVu2LAkJCdSsWZOAgADOnz/Pvn37XnkTEhwcTEhISL50y+GbREy9IAiC8EETMfX/n5j95j3o0KEDKSkpbNu2DW9vb6KionB2dlYbfT548CDNmjWjQoUK8iJH//zzj1qojJ6entyhB7CwsODOnTtF1h0WFkaXLl3Q1Hz+ikS3bt04fvw4ly5dUsv38g1GccpOTEzEzc1NLc3NzY3ExMRCy9bX18fAwKDQsgsr88qVKzx79qzAY+Lj42nSpEmRbX2Vtm3boqmpyZYtWwBYuXIlXl5eJe7QFyQuLo6DBw/KT21UKhX29vYAcgiNtrY2a9euZfPmzTx+/DjfbD3Xrl2je/fuWFtbY2hoSJUqVYDn70sA+Pv7Ex8fj52dHQEBAWo3RS8bO3YsaWlp8nbz5s03PkdBEARBED5colP/Funo6NCsWTMmTpxITEwM/v7+TJo0CYAbN27g4+NDzZo12bx5M3FxcXz33XcAPH36VC5DS0tLrUyFQlFkvPe9e/fYunUrS5cuRVNTE01NTSpUqEBOTg4rV65Uy1tQ2XmhHUV5eVRYkqR8aSUpu6DjX/XASFdX95XtfBVtbW169uxJeHg42dnZrF+/nr59+75xuQC5ubm0adOG+Ph4te3KlSu4u7vL+WJiYoDn39vL4Ult2rThn3/+YcWKFRw/fpzjx48DyC/nOjs7c/36daZMmcLjx4/p3LkzHTt2LLA9SqUSQ0NDtU0QBEEQhE+X6NS/Qw4ODvIo/MmTJ8nJyWHevHnUr18fW1tbUlJS3riOdevWUbFiRc6cOaPWmVywYAGrVq0iJyen2GVpaWnlGymvXr26WhgPPO+YVq9e/bXb7ODgUGCZtra2hc4g4+joyP79+4tdR0HnAtC/f3/27dvH0qVLefr0qdrLtm/C2dmZ8+fPY2VlhY2NjdqWN9XmtWvX+Oabb1ixYgX169enV69e8o3PP//8Q2JiIuPHj6dJkyZUr16d+/fv56vH0NCQLl26sGLFCjZu3MjmzZv/tRmWBEEQBEH4cIkpLd+Cf/75h06dOtG3b18cHR0xMDDg5MmTzJ49G19fXwCqVq1KTk4Oixcvpk2bNhw9epRly5a9cd1hYWF07NiRmjVrqqVXrlyZ0aNHs3PnTrkNr2JlZcX+/ftxc3NDqVRiYmJCYGAgnTt3xtnZmSZNmrB9+3YiIyPZt2/fa7d55MiR1KtXjylTptClSxd+//13lixZwtKlSws9ZtKkSTRp0oSqVavStWtXcnJy+PXXX/O9aFzUucDzm5T69eszevRo+vbt+1aeAAAMGTKEFStW0K1bNwIDAylTpgxXr15lw4YNctx8z549ad68OX369KFly5bUqlWLefPmERgYiImJCaampnz//fdYWFiQnJzMmDFj1OqYP38+FhYWODk5oaGhwU8//YS5uTnGxsbFbue5EG8xai8IgiAInyJJeGNPnjyRxowZIzk7O0tGRkaSnp6eZGdnJ40fP1569OiRnO/bb7+VLCwsJF1dXcnb21tavXq1BEj379+XJEmSwsPDJSMjI7Wyt2zZIhX2NZ08eVICpBMnThS4v02bNlKbNm0kSZIkDw8P6euvv1bb7+vrK/Xu3Vv+vG3bNsnGxkbS1NSUKleuLKcvXbpUsra2lrS0tCRbW1tp9erVauUA0pYtW9TSjIyMpPDwcEmSJOngwYNq5ylJkvTzzz9LDg4OkpaWllSpUiVpzpw5BZ7DizZv3iw5OTlJ2traUpkyZaT27dvL+ypXrizNnz//leciSZIUFhZW6HWrXLmyNGnSpFe25fr16xIgnT59Wk67fPmy1K5dO8nY2FjS1dWV7O3tpeHDh0u5ublSSEiIZGFhId29e1fOv3XrVklbW1suY+/evVL16tUlpVIpOTo6SlFRUWrX9vvvv5ecnJwkfX19ydDQUGrSpIl06tSpV7ZVkiQpLS1NAqS0tLRi5RcEQRAE4f0ryd9vMfuN8J8zbdo0NmzYQEJCglr648ePKV26NLt27cLLy+s9te7dKMnb84IgCIIgfBjE7DeCUICMjAxiY2NZvHgxAQEB+fZHR0fTuHHjT65DLwiCIAjCp0+M1Av/Gf7+/vz444+0bduW9evXF/pS7qdIjNQLgiAIwsdHjNR/YqKiolAoFDx48OB9N0VeGfVd8ff3V1sw6m2KiIggKyuLjRs3vnGHXqFQsHXr1rfTMEEQBEEQhDckOvUfAH9/fxQKBQqFAi0tLaytrRk1apTaolQfisjISHnl2Hdh4cKFagt2veubCIDmzZtTqlQpjh07VuxjUlNTadmy5TtslSAIgiAIQvGJKS0/EC1atCA8PJynT59y+PBh+vfvT2ZmJqGhoe+7aWpKly79Tss3MjJ6p+W/LDk5md9//52hQ4cSFhZG/fr1i8yfnZ2NtrY25ubm/1IL366ak/agodR7380QBEEQPgFJM1u97yYILxAj9R8IpVKJubk5lpaWdO/eHT8/v3zhHXFxcbi4uKCnp0fDhg25dOmS2v7Q0FCqVq2KtrY2dnZ2rFmzRm1/WloaAwcOpGzZshgaGtK4cWPOnDkj7w8ODsbJyYk1a9ZgZWWFkZERXbt25eHDh3KeF0fOL168iJ6eHuvXr5f3R0ZGoqOjk29mmRedP3+eVq1aYWhoiIGBAY0aNeLatWuAeviNv78/0dHRLFy4UH6Scf36dWxsbJg7d65amefOnUNDQ0Mup7jCw8Np3bo1X331FRs3bsz3dMTT05OhQ4cyYsQIypQpQ7NmzQD18Jvg4GC5fS9ueU8csrKyCAgIoGzZsujo6PD5558TGxsr15EXXrV///5Cv99r167h6+tLuXLlUKlU1KtX743WChAEQRAE4dMiOvUfKF1dXZ4+faqWNm7cOObNm8fJkyfR1NSkb9++8r4tW7bw9ddfM3LkSM6dO8eXX35Jnz59OHjwIACSJNGqVStu377Nrl27iIuLkxeUenFF0mvXrrF161Z27NjBjh07iI6OZubMmQW20d7enrlz5zJ48GBu3LhBSkoKAwYMYObMmdSqVavAY/7880/c3d3R0dHhwIEDxMXF0bdv3wJXvl24cCENGjRgwIABpKamkpqaSqVKlejbty/h4eFqeVeuXEmjRo2oWrVq8S7w/12T8PBwevTogb29Pba2tmzatClfvlWrVqGpqcnRo0dZvnx5vv2jRo2S25eamsrcuXPR09PDxcUFgKCgIDZv3syqVas4deoUNjY2eHt751sJtqjvNyMjAx8fH/bt28fp06fx9vamTZs2JCcnF/t8BUEQBEH4dInwmw/QiRMnWL9+PU2aNFFLnzZtGh4eHgCMGTOGVq1a8eTJE3R0dJg7dy7+/v4MHjwYgBEjRnDs2DHmzp2Ll5cXBw8eJCEhgTt37qBUKgGYO3cuW7du5eeff2bgwIEA5ObmEhERgYGBAfB8FdT9+/czbdq0Ats6ePBgdu3aRc+ePdHW1qZu3bp8/fXXhZ7bd999h5GRERs2bEBLSwsAW1vbAvMaGRmhra2Nnp6eWrhLnz59mDhxIidOnMDV1ZWnT5+ydu1a5syZ88pr+6J9+/bx6NEjvL29AejRowdhYWH06dNHLZ+NjQ2zZ88utByVSoVKpQLg2LFjjB8/nlWrVlGzZk05hCoiIkKOwV+xYgV79+4lLCyMwMBAuZyivt/atWtTu3ZtOe/UqVPZsmUL27ZtY+jQofnalJWVRVZWlvw5PT29RNdGEARBEISPixip/0Ds2LEDlUqFjo4ODRo0wN3dncWLF6vlcXR0lP9tYWEBwJ07dwBITEzEzc1NLb+bmxuJiYnA89CdjIwMTE1N5U6oSqXi+vXraiErVlZWcoc+r568OgqzcuVKzp49y6lTp4iIiEChUBSaNz4+nkaNGskd+tdhYWFBq1atWLlyJfD82j158oROnTqVqJywsDC6dOmCpubze9tu3bpx/PjxfGFNeSPur5KcnEzbtm0ZNWoUnTt3Bp4/+Xj69Knad6OlpYWrq6v83eQp6vvNzMwkKCgIBwcHjI2NUalUXLx4sdCR+hkzZmBkZCRvlpaWxToHQRAEQRA+TmKk/gPh5eVFaGgoWlpalC9fvsBO74tpeR3n3NzcfGl5JElSy2dhYUFUVFS+co2NjQusI6/MF+soyJkzZ8jMzERDQ4Pbt29Tvnz5QvPq6uoWWVZx9e/fn549ezJ//nzCw8Pp0qULenrFfwH03r17bN26ladPn6q9jPzs2TNWrlzJrFmz5DR9ff1XlpeZmckXX3xBgwYNmDx5spyetwxEUd9NnqK+38DAQPbs2cPcuXOxsbFBV1eXjh07kp2dXWB7xo4dy4gRI+TP6enpomMvCIIgCJ8w0an/QOjr62NjY/Pax1evXp0jR47Qq1cvOS0mJobq1asD4OzszO3bt9HU1MTKyupNmyu7d+8e/v7+jBs3jtu3b+Pn58epU6cK7bw7OjqyatUqnj59WqzRem1tbZ49e5Yv3cfHB319fUJDQ/n11185dOhQidq9bt06KlasmO9l5P379zNjxgymTZsmj+C/iiRJ9OjRg9zcXNasWaPWWbexsUFbW5sjR47QvXt3AJ4+fcrJkydLNFXn4cOH8ff3p127dsDzGPukpKRC8yuVSjnMShAEQRCET5/o1H8iAgMD6dy5s/zy6/bt24mMjJRnSGnatCkNGjSgbdu2zJo1Czs7O1JSUti1axdt27YtdojJywYNGoSlpSXjx48nOzsbZ2dnRo0axXfffVdg/qFDh7J48WK6du3K2LFjMTIy4tixY7i6umJnZ5cvv5WVFcePHycpKQmVSkXp0qXR0NCgVKlS+Pv7M3bsWGxsbGjQoEGJ2h0WFkbHjh2pWbOmWnrlypUZPXo0O3fuxNfXt1hlBQcHs2/fPn777TcyMjLIyMgAnr8ToK+vz1dffUVgYCClS5emUqVKzJ49m0ePHtGvX79it9fGxobIyEjatGmDQqFgwoQJr3yCUpBzId5iRVlBEARB+ASJmPpPRNu2bVm4cCFz5syhRo0aLF++nPDwcDw9PYHn4Ry7du3C3d2dvn37YmtrS9euXUlKSqJcuXKvVefq1avZtWsXa9asQVNTEz09PdatW8cPP/zArl27CjzG1NSUAwcOkJGRgYeHB3Xr1mXFihWFjtqPGjWKUqVK4eDggJmZmVoMeb9+/cjOzlabJSaPv7+/fO4vi4uL48yZM3To0CHfPgMDA5o3b05YWFgxrsBz0dHRZGRk0LBhQywsLORt48aNAMycOZMOHTrQs2dPnJ2duXr1Knv27MHExKTYdcyfPx8TExMaNmxImzZt8Pb2xtnZudjHC4IgCILwaVNIeUG/gvCROXr0KJ6enty6dSvfjYmnpyeenp4EBwe/n8Z9YNLT0zEyMiItLU2M1AuCIAjCR6Ikf79F+I3w0cnKyuLmzZtMmDCBzp075+vQP3z4kGvXrrFjx4731EJBEARBEIR/lwi/ET46P/74I3Z2dqSlpRU4f7yBgQE3b96U544XBEEQBEH41InwG0H4DxDhN4IgCILw8SnJ328xUi+8EU9PzxJNzVhSERERavPov08KhSLfFJivw8rKigULFvwrdQmCIAiC8N8gOvU8nylFoVCgUCjQ0tLC2tqaUaNGkZmZ+UblBgcH4+Tk9Mp8mZmZjB49Gmtra3R0dDAzM8PT01MtJrw4HcE3acPrioyMZMqUKe+s/C5dunD58mX587s8HysrK/l3kLdVrFjxrdcTGxvLwIED33q5giAIgiD8d4kXZf9PixYtCA8P5+nTpxw+fJj+/fuTmZmpttpocUmSVOCCSYUZNGgQJ06cYMmSJTg4OPDPP/8QExPDP//8U+K6/22lS5d+p+Xr6uq+tVVoi2Py5MkMGDBA/lyqVKm3VnZ2djba2tqYmZm9tTJLquakPWgoi7/yriAIwvuUNLPV+26CIHw0xEj9/1EqlZibm2NpaUn37t3x8/OTwx+ysrIICAigbNmy6Ojo8PnnnxMbGysfGxUVhUKhYM+ePbi4uKBUKlmzZg0hISGcOXNGHvWNiIgosO7t27fzv//9Dx8fH6ysrKhbty7Dhg2jd+/ewPMQlxs3bvDNN9/IZb0Nee1+8OCBnBYfH49CoVBbrfTo0aN4eHigp6eHiYkJ3t7e3L9/X27bi+E32dnZBAUFUaFCBfT19fnss8+Iiooqsh0PHjxg4MCBlCtXDh0dHWrWrCk/pXgx/CYiIqLAa9q3b19at26tVmZOTg7m5uasXLmyRNfEwMAAc3NzeSuqA56QkEDjxo3R1dXF1NSUgQMHygtPwfMnQG3btmXGjBmUL18eW1tbIP9TlytXruDu7o6Ojg4ODg7s3bs3X12jR4/G1tYWPT09rK2tmTBhAk+fPi3RuQmCIAiC8OkSI/WF0NXVlTtNQUFBbN68mVWrVlG5cmVmz56Nt7c3V69eVRupDgoKYu7cuXIYzciRI9m9e7e8qquRkVGBdZmbm7Nr1y7at2+PgYFBvv2RkZHUrl2bgQMHqo0i/xvi4+Np0qQJffv2ZdGiRWhqanLw4MFCn0T06dOHpKQkNmzYQPny5dmyZQstWrQgISGBatWq5cufm5tLy5YtefjwIWvXrqVq1apcuHChwBHyLl26cO7cuXzX1NbWFnd3d1JTU7GwsABg165dZGRk0Llz57d4Nf6/R48e0aJFC+rXr09sbCx37tyhf//+DB06VO3mbf/+/RgaGrJ3714Keic9NzeX9u3bU6ZMGY4dO0Z6enqB7ygYGBgQERFB+fLlSUhIYMCAARgYGBAUFFRg+7KyssjKypI/p6env/E5C4IgCILw4RKd+gKcOHGC9evX06RJEzkEJyIigpYtWwKwYsUK9u7dS1hYGIGBgfJxkydPplmzZvJnlUqFpqYm5ubmRdb3/fff4+fnh6mpKbVr1+bzzz+nY8eOuLm5Ac9DXEqVKiWPIv+bZs+ejYuLC0uXLpXTatSoUWDea9eu8eOPP3Lr1i3Kly8PPF8Rdvfu3YSHhzN9+vR8x+zbt48TJ06QmJgoj2RbW1sXWL6urm6B17Rhw4bY2dmxZs0auZMbHh5Op06dSjyt5ejRoxk/frz8efr06QQEBOTLt27dOh4/fszq1avR19cHYMmSJbRp04ZZs2bJc+fr6+vzww8/oK2tXWB9+/btIzExkaSkJDl+f/r06fJvLc+LbbKysmLkyJFs3Lix0E79jBkzCAkJKcGZC4IgCILwMRPhN/9nx44dqFQqdHR0aNCgAe7u7ixevJhr167x9OlTuYMNoKWlhaurK4mJiWpluLi4vFbd7u7u/PHHH+zfv58OHTpw/vx5GjVq9E5fQC2uvJH64jh16hSSJGFra4tKpZK36Ohorl27Vmj5FStWlDv0r6t///6Eh4cDcOfOHXbu3Enfvn1LXE5gYCDx8fHy1qtXrwLzJSYmUrt2bblDD+Dm5kZubi6XLl2S02rVqlVohz6vnEqVKqm9kNugQYN8+X7++Wc+//xzzM3NUalUTJgwgeTk5ELLHTt2LGlpafJ28+bNIs9bEARBEISPmxip/z9eXl6EhoaipaVF+fLl0dLSAiA1NRUgXxy7JEn50l7s4JWUlpYWjRo1olGjRowZM4apU6cyefJkRo8eXWSn8E1oaDy/p3sxLOTlOO2SvKSam5tLqVKliIuLyxc+U9iI+dt6CbZXr16MGTOG33//nd9//x0rKysaNWpU4nLKlCmDjY3NK/MV9P3neTH9Vb+JgkJyXi732LFjdO3alZCQELy9vTEyMmLDhg3Mmzev0HKVSiVKpbLIugVBEARB+HSIkfr/o6+vj42NDZUrV5Y79AA2NjZoa2tz5MgROe3p06ecPHmS6tWrF1mmtrZ2iWbBeZGDgwM5OTk8efLkjcsqTN5LoHk3LvB85PxFjo6O7N+/v1jl1alTh2fPnnHnzh1sbGzUtsLChhwdHbl165batJVFKew6mJqa0rZtW8LDwwkPD6dPnz7FKu91OTg4EB8frzbt6dGjR9HQ0CjRUwcHBweSk5NJSUmR037//Xe1PEePHqVy5cqMGzcOFxcXqlWrxo0bN978JARBEARB+GSIkfpX0NfX56uvviIwMJDSpUtTqVIlZs+ezaNHj+jXr1+Rx1pZWXH9+nU5xMTAwKDA0VNPT0+6deuGi4sLpqamXLhwgf/97394eXnJq4dZWVlx6NAhunbtilKppEyZMvz55580adKE1atX4+rqWmg7Hj9+nK+zrlKpsLGxwdLSkuDgYKZOncqVK1fyjf6OHTuWWrVqMXjwYAYNGoS2tjYHDx6kU6dOlClTRi2vra0tfn5+9OrVi3nz5lGnTh3u3r3LgQMHqFWrFj4+Pvna5uHhgbu7Ox06dODbb7/FxsaGixcvolAoaNGiRYmuaf/+/WndujXPnj2TZw56V/z8/Jg0aRK9e/cmODiYv//+m2HDhtGzZ085nr44mjZtip2dnXzN0tPTGTdunFoeGxsbkpOT2bBhA/Xq1WPnzp1s2bLltdp9LsRbrCgrCIIgCJ8gMVJfDDNnzqRDhw707NkTZ2dnrl69yp49ezAxMSnyuA4dOtCiRQu8vLwwMzPjxx9/LDCft7c3q1atonnz5lSvXp1hw4bh7e3Npk2b5DyTJ08mKSmJqlWryiPsT58+5dKlSzx69KjIdly+fJk6deqobf3790dLS4sff/yRixcvUrt2bWbNmsXUqVPVjrW1teW3337jzJkzuLq60qBBA3755Rc0NQu+HwwPD6dXr16MHDkSOzs7vvjiC44fP46lpWWh7du8eTP16tWjW7duODg4EBQUVOhTiaKuadOmTbGwsMDb21t+UTdPRETEW5sKFEBPT489e/Zw79496tWrR8eOHWnSpAlLliwpUTkaGhps2bKFrKwsXF1d6d+/P9OmTVPL4+vryzfffMPQoUNxcnIiJiaGCRMmvLVzEQRBEATh46eQCgrqFYSP0KNHjyhfvjwrV66kffv2avuCg4OJiop65Zz5n6r09HSMjIxIS0sTI/WCIAiC8JEoyd9vEX4jfPRyc3O5ffs28+bNw8jIiC+++CJfnj179rBw4cL30DpBEARBEIR3T3TqhY9ecnIyVapUoWLFikRERBQYGvTyy6eCIAiCIAifEtGpFz56VlZWBU4NKQiCIAiC8F/xSbwoq1Ao2Lp16zsp28rKigULFryTst+Fd3ktPgTBwcE4OTm972aU2IvfS1JSEgqFIt+MRIIgCIIgCK/rg+/U3759m2HDhmFtbY1SqcTS0pI2bdoUe+70f1thnc5/q7OdmppKy5YtgXfbeQwODkahUDBo0CC19Pj4eBQKBUlJSW9cx9u8ZpIk8f333/PZZ5+hUqkwNjbGxcWFBQsWvHL2oLfN0tKS1NRUatas+a/WKwiCIAjCp+uDDr9JSkrCzc0NY2NjZs+ejaOjI0+fPmXPnj0MGTKEixcvvrO6s7Oz39lKru9SYYs8vQs6OjqEhYUxYsSIEi249Crv4tr37NmTyMhIxo8fz5IlSzAzM+PMmTMsWLAAKysr2rZt+1rlPn36VG2xsuIoVarUv/o9vajmpD1oKPXeS92CIHwYkma2et9NEAThHfigR+oHDx6MQqHgxIkTdOzYEVtbW2rUqMGIESM4duyYWt67d+/Srl079PT0qFatGtu2bZP3PXv2jH79+lGlShV0dXWxs7PLNxOKv78/bdu2ZcaMGZQvX77QTmpycjK+vr6oVCoMDQ3p3Lkzf/31F/B8LvSQkBDOnDmDQqFAoVAQERGBlZUVAO3atUOhUMifAbZv307dunXR0dHB2tqakJAQcnJyirwuK1eupEaNGiiVSiwsLBg6dKi878XR7SpVqgDPV3pVKBR4enpy6NAhtLS0uH37tlqZI0eOxN3dvch6X2ZnZ4eXlxfjx48vMl90dDSurq5ye8eMGaN2jp6engwdOpQRI0ZQpkwZmjVrVuQ1A1izZg1WVlYYGRnRtWtXHj58WGj9mzZtYt26dfz444/873//o169elhZWeHr68uBAwfw8vICIDY2lmbNmlGmTBmMjIzw8PDg1KlTamUpFAqWLVuGr68v+vr68rz+oaGhVK1aFW1tbezs7FizZk2h7Xn5CUpUVBQKhYL9+/fj4uKCnp4eDRs25NKlS/Ix165dw9fXl3LlyqFSqahXrx779u0r8roLgiAIgvDf8cF26u/du8fu3bsZMmQI+vr6+fYbGxurfQ4JCaFz586cPXsWHx8f/Pz8uHfvHvB8ysOKFSuyadMmLly4wMSJE/nf//6ntrgTwP79+0lMTGTv3r3s2LEjX52SJNG2bVvu3btHdHQ0e/fu5dq1a3Tp0gWALl26MHLkSGrUqEFqaiqpqal06dKF2NhY4PnCTKmpqfLnPXv20KNHDwICArhw4QLLly8nIiIi3+JDLwoNDWXIkCEMHDiQhIQEtm3bho2NTYF5T5w4AcC+fftITU0lMjISd3d3rK2t1TqdOTk5rF27lj59+hRab2FmzpzJ5s2b5XN62Z9//omPjw/16tXjzJkzhIaGEhYWlm+Rq1WrVqGpqcnRo0dZvnx5odcMnndwt27dyo4dO9ixYwfR0dHMnDmz0DauW7cOOzs7fH198+1TKBQYGRkB8PDhQ3r37s3hw4c5duwY1apVw8fHJ98Nw6RJk/D19SUhIYG+ffuyZcsWvv76a0aOHMm5c+f48ssv6dOnDwcPHizeRfw/48aNY968eZw8eRJNTU369u0r78vIyMDHx4d9+/Zx+vRpvL29adOmDcnJyQWWlZWVRXp6utomCIIgCMKn64MNv7l69SqSJGFvb1+s/P7+/nTr1g2A6dOns3jxYk6cOEGLFi3Q0tIiJCREzlulShViYmLYtGkTnTt3ltP19fX54YcfCg392LdvH2fPnuX69evyCqlr1qyhRo0axMbGUq9ePVQqFZqammrhFbq6usDzG5EX06dNm8aYMWPo3bs3ANbW1kyZMoWgoCAmTZpUYBumTp3KyJEj+frrr+W0evXqFZg3b+VZU1NTtXr79etHeHg4gYGBAOzcuZNHjx6pXYvicnZ2pnPnzowZM6bA9xyWLl2KpaUlS5YsQaFQYG9vT0pKCqNHj2bixIloaDy/r7SxsWH27Nn5jn/5msHzm7SIiAgMDAyA56E1+/fvL/Rm6MqVK9jZ2b3yXBo3bqz2efny5ZiYmBAdHU3r1q3l9O7du6t1uLt3746/vz+DBw8GkJ8kzZ07V34KUBzTpk3Dw8MDgDFjxtCqVSuePHmCjo4OtWvXpnbt2nLeqVOnsmXLFrZt26b2pCbPjBkz1H7zgiAIgiB82j7Ykfq8KQoVCkWx8js6Osr/1tfXx8DAgDt37shpy5Ytw8XFBTMzM1QqFStWrMg3ylmrVq0iY7kTExOxtLSUO/QADg4OGBsbk5iYWKx2viguLo7JkyejUqnkbcCAAaSmphb48uadO3dISUmhSZMmJa7rRf7+/ly9elUOYVq5ciWdO3cu8IlIcUydOpXDhw/z22+/5duXmJhIgwYN1L5HNzc3MjIyuHXrlpzm4uJS7PqsrKzkDj2AhYWF2nf9MkmSivU7unPnDoMGDcLW1hYjIyOMjIzIyMjI9zt5ua2JiYm4ubmppbm5uZX4N/Hib9jCwkJuE0BmZiZBQUHy702lUnHx4sVCR+rHjh1LWlqavN28ebNEbREEQRAE4ePywY7UV6tWDYVCQWJiYrFeYnz5ZUWFQkFubi7wPKb6m2++Yd68eTRo0AADAwPmzJnD8ePH1Y55Vae2sM5hcTuNL8vNzSUkJIT27dvn26ejo5MvLW/E/02VLVuWNm3aEB4ejrW1Nbt27SIqKuq1y6tatSoDBgxgzJgxhIWFqe0r6NoUdMNWkhuKor7rgtja2harg+3v78/ff//NggULqFy5MkqlkgYNGpCdna2Wr6C2FnSOJf1NvHheecfmnVdgYCB79uxh7ty52NjYoKurS8eOHfO1LY9SqUSpVJaofkEQBEEQPl4f7Eh96dKl8fb25rvvviMzMzPf/gcPHhS7rMOHD9OwYUMGDx5MnTp1sLGx4dq1ayVuk4ODA8nJyWqjnhcuXCAtLY3q1asDoK2tzbNnz/Idq6WllS/d2dmZS5cuYWNjk2/LC0t5kYGBAVZWVsWezjPvqUNB7enfvz8bNmxg+fLlVK1aNd9Ic0lNnDiRy5cvs2HDBrV0BwcHYmJi1BaHiomJwcDAgAoVKhRZZkHX7HV0796dy5cv88svv+TbJ0kSaWlpwPPfSUBAAD4+PvKLyHfv3n1l+dWrV+fIkSNqaTExMfJv4m04fPgw/v7+tGvXjlq1amFubv5Wpg0VBEEQBOHT8MGO1MPzeOyGDRvi6urK5MmTcXR0JCcnh7179xIaGlrs8AYbGxtWr17Nnj17qFKlCmvWrCE2NlaeHaa4mjZtiqOjI35+fixYsICcnBwGDx6Mh4eHHJJhZWXF9evXiY+Pp2LFihgYGKBUKuXOuJubG0qlEhMTEyZOnEjr1q2xtLSkU6dOaGhocPbsWRISEvK9SJonODiYQYMGUbZsWVq2bMnDhw85evQow4YNy5e3bNmy6Orqsnv3bipWrIiOjo78Uqi3tzdGRkZMnTqVyZMnl+g6FKRcuXKMGDGCOXPmqKUPHjyYBQsWMGzYMIYOHcqlS5eYNGkSI0aMKPDG5UUFXbPX0blzZ7Zs2UK3bt2YMGECzZo1w8zMjISEBObPn8+wYcNo27YtNjY2rFmzBhcXF9LT0wkMDCzW05HAwEA6d+6Ms7MzTZo0Yfv27URGRr7V2WlsbGyIjIykTZs2KBQKJkyYUOTTicKcC/HG0NDwrbVLEARBEIQPwwc7Ug/PX2g9deoUXl5ejBw5kpo1a9KsWTP2799PaGhoscsZNGgQ7du3p0uXLnz22Wf8888/8kuNJZE3XaSJiQnu7u40bdoUa2trNm7cKOfp0KEDLVq0wMvLCzMzM3788UcA5s2bx969e7G0tKROnTrA8471jh072Lt3L/Xq1aN+/fp8++23VK5cudA29O7dmwULFrB06VJq1KhB69atuXLlSoF5NTU1WbRoEcuXL6d8+fJqs79oaGjg7+/Ps2fP6NWrV4HnGhERUaLrExgYiEqlUkurUKECu3bt4sSJE9SuXZtBgwbRr1+/V06DCQVfs9ehUChYv3493377LVu2bMHDwwNHR0eCg4Px9fXF29sbeP5uwf3796lTpw49e/YkICCAsmXLvrL8tm3bsnDhQubMmUONGjVYvnw54eHheHp6vnabXzZ//nxMTExo2LAhbdq0wdvbG2dn57dWviAIgiAIHzeF9GJchPCfMmDAAP766y+1Of3h+Tzq1apV48KFC1SrVu09tU54m9LT0zEyMiItLU2M1AuCIAjCR6Ikf78/6PAb4d1IS0sjNjaWdevWFRhnvnv3bgYOHCg69IIgCIIgCB8J0an/D/L19eXEiRN8+eWXNGvWLN/+QYMGvYdWCYIgCIIgCK9LdOr/g95k+kpBEARBEAThw/NBvygrfBryXjB+HUlJSSgUCuLj499qm16Hp6cnw4cPf+Ny/P39X7n2wtuqSxAEQRCE/wYxUv8W3L59m2nTprFz507+/PNPypYti5OTE8OHD3/j1V/fhvT0dGbNmsXmzZtJSkrC2NiYmjVrMnjwYNq1a/daC2f9WywtLUlNTaVMmTLA86cMXl5e3L9/H2Nj47dal7+/P6tWrcqXfuXKFWxsbN5aPQsXLuR9vZ9ec9IeNJR676VuQRDer6SZrd53EwRBeIdEp/4NJSUl4ebmhrGxMbNnz8bR0ZGnT5+yZ88ehgwZwsWLF99r+x48eMDnn39OWloaU6dOpV69emhqahIdHU1QUBCNGzd+rc7xs2fPUCgUr5xr/k2VKlUKc3Pzd1rHi1q0aEF4eLhampmZ2VspO++a5a0VIAiCIAiC8LaI8Js3NHjwYBQKBSdOnKBjx47Y2tpSo0YNRowYwbFjx+R83377LbVq1UJfXx9LS0sGDx5MRkaGvD8iIgJjY2O2bt2Kra0tOjo6NGvWTG31WoDt27dTt25ddHR0sLa2JiQkhJycnELb97///Y+kpCSOHz9O7969cXBwwNbWlgEDBhAfHy/PK3///n169eqFiYkJenp6tGzZUm3++7z27dixAwcHB5RKJTdu3CA2NpZmzZpRpkwZjIyM8PDw4NSpUyW6hrm5ucyaNQsbGxuUSiWVKlVi2rRpgHr4TVJSEl5eXgCYmJigUCjw9/dn9erVmJqakpWVpVZuhw4dCpyDvyhKpRJzc3O1rVSpUgXmfd1r9nL4TWZmJr169UKlUmFhYcG8efPy1bV27VpcXFwwMDDA3Nyc7t27c+fOnRKdmyAIgiAIny7RqX8D9+7dY/fu3QwZMgR9ff18+18cAdfQ0GDRokWcO3eOVatWceDAAYKCgtTyP3r0iGnTprFq1SqOHj1Keno6Xbt2lffv2bOHHj16EBAQwIULF1i+fDkRERFyB/hlubm5bNiwAT8/P8qXL59vv0qlQlPz+cMaf39/Tp48ybZt2/j999+RJAkfHx+ePn2q1r4ZM2bwww8/cP78ecqWLcvDhw/p3bs3hw8f5tixY1SrVg0fHx8ePnxY7Os4duxYZs2axYQJE7hw4QLr16+nXLly+fJZWlqyefNmAC5dukRqaioLFy6kU6dOPHv2TG2+/bt377Jjxw769OlT7HaU1Otes5cFBgZy8OBBtmzZwm+//UZUVBRxcXFqebKzs5kyZQpnzpxh69atXL9+HX9//0LblpWVRXp6utomCIIgCMKnS4TfvIGrV68iSRL29vavzPviS49VqlRhypQpfPXVVyxdulROf/r0KUuWLOGzzz4DYNWqVVSvXp0TJ07g6urKtGnTGDNmDL179wbA2tqaKVOmEBQUxKRJk/LVeffuXe7fv//K9l25coVt27Zx9OhRGjZsCMC6deuwtLRk69atdOrUSW7f0qVLqV27tnxs48aN1cpavnw5JiYmREdH07p161del4cPH7Jw4UKWLFkin1fVqlX5/PPP8+UtVaoUpUuXBqBs2bJqN03du3cnPDxcbuu6deuoWLFiiVd13bFjh9qquC1btuSnn37Kl+9NrtmLMjIyCAsLY/Xq1fL0oqtWraJixYpq+fr27Sv/29ramkWLFuHq6kpGRka+VXwBZsyYQUhISInOXRAEQRCEj5fo1L+BvJcdi/Oi6cGDB5k+fToXLlwgPT2dnJwcnjx5QmZmpjzKr6mpiYuLi3yMvb09xsbGJCYm4urqSlxcHLGxsWoj88+ePePJkyc8evQIPT31FyCL277ExEQ0NTXlmwkAU1NT7OzsSExMlNO0tbVxdHRUO/bOnTtMnDiRAwcO8Ndff/Hs2TMePXpEcnLyK69JXt1ZWVlv/ELxgAEDqFevHn/++ScVKlQgPDwcf3//Er8E7OXlRWhoqPy5oCcwee1+3Wv2omvXrpGdnU2DBg3ktNKlS2NnZ6eW7/Tp0wQHBxMfH8+9e/fIzc0FIDk5GQcHh3zljh07lhEjRsif09PTsbS0LLQdgiAIgiB83ESn/g1Uq1YNhUJBYmJikVMU3rhxAx8fHwYNGsSUKVMoXbo0R44coV+/fmqhGlBwBzwvLTc3l5CQENq3b58vj46OTr40MzMzTExM1DqZBSlsJhZJktTao6urm699/v7+/P333yxYsIDKlSujVCpp0KAB2dnZRdb5YplvQ506dahduzarV6/G29ubhIQEtm/fXuJy9PX1izXTzZtcs+KU86LMzEyaN29O8+bNWbt2LWZmZiQnJ+Pt7V3odVYqlSiVyleWLQiCIAjCp0HE1L+B0qVL4+3tzXfffUdmZma+/Q8ePADg5MmT5OTkMG/ePOrXr4+trS0pKSn58ufk5HDy5En586VLl3jw4IEcPuPs7MylS5ewsbHJtxU0C42GhgZdunRh3bp1BdaXmZlJTk4ODg4O5OTkcPz4cXnfP//8w+XLl6levXqR1+Dw4cMEBATg4+NDjRo1UCqV3L17t8hjXlStWjV0dXXZv39/sfJra2sDz59QvKx///6Eh4ezcuVKmjZt+k5Hpt/kmr3IxsYGLS0ttZeq79+/z+XLl+XPFy9e5O7du8ycOZNGjRphb28vXpIVBEEQBEGNGKl/Q0uXLqVhw4a4uroyefJkHB0dycnJYe/evYSGhpKYmEjVqlXJyclh8eLFtGnThqNHj7Js2bJ8ZWlpaTFs2DAWLVqElpYWQ4cOpX79+ri6ugIwceJEWrdujaWlJZ06dUJDQ4OzZ8+SkJDA1KlTC2zf9OnTiYqK4rPPPmPatGm4uLigpaXF4cOHmTFjBrGxsVSrVg1fX18GDBjA8uXLMTAwYMyYMVSoUAFfX98iz9/GxoY1a9bg4uJCeno6gYGBJRp919HRYfTo0QQFBaGtrY2bmxt///0358+fp1+/fvnyV65cGYVCwY4dO/Dx8UFXV1eOKffz82PUqFGsWLGC1atXF7sNr+NNrtmLVCoV/fr1IzAwEFNTU8qVK8e4cePUbtIqVaqEtrY2ixcvZtCgQZw7d44pU6a8VrvPhXhjaGj4WscKgiAIgvDhEiP1b6hKlSqcOnUKLy8vRo4cSc2aNWnWrBn79++XY7OdnJz49ttvmTVrFjVr1mTdunXMmDEjX1l6enqMHj2a7t2706BBA3R1ddmwYYO839vbmx07drB3717q1atH/fr1+fbbb6lcuXKh7TMxMeHYsWP06NGDqVOnUqdOHRo1asSPP/7InDlz5DnTw8PDqVu3Lq1bt6ZBgwZIksSuXbvQ0tIq8vxXrlzJ/fv3qVOnDj179iQgIKDAGV6KMmHCBEaOHMnEiROpXr06Xbp0KXQkukKFCoSEhDBmzBjKlSvH0KFD5X2GhoZ06NABlUqVLxwqb2rMqKioErWtKK97zV42Z84c3N3d+eKLL2jatCmff/45devWlfebmZkRERHBTz/9hIODAzNnzmTu3Llv7TwEQRAEQfj4KaT3tbSloCYiIoLhw4fLITvC62nWrBnVq1dn0aJFaulRUVG0a9eOP/74AxMTk/fUuvcnPT0dIyMj0tLSxEi9IAiCIHwkSvL3W4TfCJ+Ee/fu8dtvv3HgwAGWLFmSb//u3bv53//+95/s0AuCIAiC8OkTnXrhk+Ds7Mz9+/eZNWtWvukgAWbOnPkeWiUIgiAIgvDvEOE3gvAfIMJvBEEQBOHjU5K/3+JF2Tfk6emptlpsQRQKBVu3bi12mVFRUSgUChFf/4Ep6fdYGCsrKxYsWPCv1CUIgiAIwn/Dfz78xt/fnwcPHrzTDlRqauq/Gss9cOBAwsLCWLduHV27dv3X6i2J27dvM23aNHbu3Mmff/5J2bJlcXJyYvjw4fLqslZWVty4cQN4PvVluXLlcHV1ZdCgQTRu3FguKykpiSpVqsifjY2NqVWrFlOmTMHDw6PYbXqxvjwVKlTg1q1bb3Kq+cTGxha6Uu27VnPSHjSUeq/OKAjCRy9pZqv33QRBEP5FYqT+X2Bubv6vre756NEjNm7cSGBgIGFhYW9UliRJ5OTkvKWW/X9JSUnUrVuXAwcOMHv2bBISEti9ezdeXl4MGTJELe/kyZNJTU3l0qVLrF69GmNjY5o2bcq0adPylbtv3z5SU1OJjo7G0NAQHx8frl+/XqK25dWXt50+ffqNzvVFeau/mpmZoacnOtaCIAiCILw9olP/ChcuXMDHxweVSkW5cuXo2bNnvhVTc3NzCQoKonTp0pibmxMcHKy2/+VQipiYGJycnNDR0cHFxYWtW7eiUCiIj49XOy4uLg4XFxf09PRo2LAhly5demV78+YyHzt2LEePHiUpKUltf1ZWFkFBQVhaWqJUKqlWrZrc+c8L+9mzZw8uLi4olUoOHz6MJEnMnj0ba2trdHV1qV27Nj///LNc5v379/Hz88PMzAxdXV2qVatGeHh4oW0cPHgwCoWCEydO0LFjR2xtbalRowYjRoxQW1kVwMDAAHNzcypVqoS7uzvff/89EyZMYOLEifmuh6mpKebm5jg6OrJ8+XIePXrEb7/99sprVlB9eZuZmVmheRMSEmjcuDG6urqYmpoycOBAMjIy5P3+/v60bduWGTNmUL58eWxtbYH84TdXrlzB3d0dHR0dHBwc2Lt3b766Ro8eja2tLXp6elhbWzNhwgSePn1aonMTBEEQBOHTJTr1RUhNTcXDwwMnJydOnjzJ7t27+euvv+jcubNavlWrVqGvr8/x48eZPXs2kydPLrBjBvDw4UPatGlDrVq1OHXqFFOmTGH06NEF5h03bhzz5s3j5MmTaGpq0rdv31e2OSwsjB49emBkZISPj0++znWvXr3YsGEDixYtIjExkWXLlskrsuYJCgpixowZJCYm4ujoyPjx4wkPDyc0NJTz58/zzTff0KNHD6Kjo4Hni0dduHCBX3/9lcTEREJDQylTpkyB7bt37x67d+9myJAhBYagGBsbv/Icv/76ayRJ4pdffik0T95I+Lvq+D569IgWLVpgYmJCbGwsP/30E/v27VNbDAtg//79JCYmsnfvXnbs2JGvnNzcXNq3b0+pUqU4duwYy5YtK/D3YGBgQEREBBcuXGDhwoWsWLGC+fPnF9q+rKws0tPT1TZBEARBED5d//mY+qKEhobi7OzM9OnT5bSVK1diaWnJ5cuX5ZFXR0dHJk2aBEC1atVYsmQJ+/fvp1mzZvnKXLduHQqFghUrVsgjs3/++ScDBgzIl3fatGlyTPiYMWNo1aoVT548QUdHp8D2XrlyhWPHjhEZGQlAjx49CAgIYNKkSWhoaHD58mU2bdrE3r17adq0KQDW1tb5ypk8ebLc9szMTL799lsOHDhAgwYN5GOOHDnC8uXL8fDwIDk5mTp16uDi4gI8H4kuzNWrV5EkCXt7+0LzvErp0qUpW7ZsvqcQeTIzMxk7diylSpUqUUw9PB8RHz9+vPx5+vTpBAQE5Mu3bt06Hj9+zOrVq+WbkyVLltCmTRtmzZpFuXLlANDX1+eHH35AW1u7wPr27dtHYmIiSUlJVKxYUa6zZcuWavlebJOVlRUjR45k48aNBAUFFVjujBkzCAkJKcGZC4IgCILwMROd+iLExcVx8ODBfCPZANeuXVPr1L/IwsKCO3fuFFjmpUuXcHR0VOuYu7q6Fpj3xXItLCwAuHPnDpUqVSowf1hYGN7e3vIouY+PD/369WPfvn00b96c+Pj4YnV08zrn8Dz86MmTJ/luULKzs6lTpw4AX331FR06dODUqVM0b96ctm3b0rBhwwLLzptBVaFQFNmGV5EkKV8ZDRs2RENDg0ePHmFhYUFERAS1atUqUbmBgYH4+/vLnwt74pCYmEjt2rXVnja4ubmRm5vLpUuX5E59rVq1Cu3Q55VTqVIluUMPyDdPL/r5559ZsGABV69eJSMjg5ycnCKntho7diwjRoyQP6enp2NpaVlofkEQBEEQPm6iU1+E3NxceeT1ZXmdbAAtLS21fQqFgtzc3ALLLKgzWthSAS+Wm3dMYeU+e/aM1atXc/v2bTQ1NdXSw8LCaN68Obq6ugUe+7IXO6p59e3cuZMKFSqo5ct7+bdly5bcuHGDnTt3sm/fPpo0acKQIUOYO3duvrKrVauGQqEgMTGRtm3bFqs9L/vnn3/4+++/1Wa8Adi4cSMODg4YGxtjamr6WmWXKVMGGxubV+Yr6HvM82L6q2a5Kei7f7ncY8eO0bVrV0JCQvD29sbIyIgNGzYwb968QstVKpX/2svZgiAIgiC8f6JTXwRnZ2c2b96MlZWVWkf5Tdjb27Nu3TqysrLkTtfJkyffuNxdu3bx8OFDTp8+TalSpeT0ixcv4ufnxz///EOtWrXIzc0lOjpaDr95FQcHB5RKJcnJyUWO8JuZmeHv74+/vz+NGjUiMDCwwE596dKl8fb25rvvviMgICBfp/fBgwevjKtfuHAhGhoa+W4KLC0tqVq1arHO6005ODiwatUqMjMz5XM4evQoGhoa8hOc4paTnJxMSkoK5cuXB+D3339Xy3P06FEqV67MuHHj5LSXp94srnMh3mLxKUEQBEH4BIkXZYG0tDTi4+PVtuTkZIYMGcK9e/fo1q0bJ06c4I8//uC3336jb9++PHv27LXq6t69O7m5uQwcOJDExET27Nkjd37fJCQlLCyMVq1aUbt2bWrWrClvHTp0wMzMjLVr12JlZUXv3r3p27cvW7du5fr160RFRbFp06ZCyzUwMGDUqFF88803rFq1imvXrnH69Gm+++47Vq1aBcDEiRP55ZdfuHr1KufPn2fHjh1Ur1690DKXLl3Ks2fPcHV1ZfPmzVy5coXExEQWLVqUL/Tk4cOH3L59m5s3b3Lo0CEGDhzI1KlTmTZtWrFG1N8VPz8/dHR06N27N+fOnePgwYMMGzaMnj17yqE3xdG0aVPs7Ozo1asXZ86c4fDhw2qddwAbGxuSk5PZsGED165dY9GiRWzZsuVtn5IgCIIgCB8x0ann+VSOderUUdsmTpxI+fLlOXr0KM+ePcPb25uaNWvy9ddfY2RkhIbG6106Q0NDtm/fTnx8PE5OTowbN46JEycCFPoC7Kv89ddf7Ny5kw4dOuTbp1AoaN++vTxtZWhoKB07dmTw4MHY29szYMAAMjMziyx/ypQpTJw4kRkzZlC9enW8vb3Zvn27HP6ira3N2LFjcXR0xN3dnVKlSrFhw4ZCy6tSpQqnTp3Cy8uLkSNHUrNmTZo1a8b+/fsJDQ1Vyztx4kQsLCywsbGhZ8+epKWlsX///kJnDCpMRETEG8fxv0hPT489e/Zw79496tWrR8eOHWnSpAlLliwpUTkaGhps2bKFrKwsXF1d6d+/f745+H19ffnmm28YOnQoTk5OxMTEMGHChLd2LoIgCIIgfPwUUmEB3cK/Zt26dfTp04e0tLRix70LJRMcHExUVBRRUVHvuynvRXp6OkZGRqSlpYnwG0EQBEH4SJTk77eIqX8PVq9ejbW1NRUqVODMmTOMHj2azp07iw79O7Rnzx4WLlz4vpshCIIgCILwTohO/Xtw+/ZtJk6cyO3bt7GwsKBTp075Qi6Et+vll08FQRAEQRA+JSKm/j0ICgoiKSmJMWPGYGRkxPz58+UVUD80np6eDB8+XP5sZWXFggUL5M8KhYKtW7e+s/r9/f1fe+rLtykqKgqFQsGDBw/eqJykpCQUCgXx8fHvvC5BEARBEP47xEh9Cfn7+/PgwYN32pH9kERGRuabh//ftHDhQrW53D09PXFyclK7sXgbkpKS8s17D89nuVm7du1bq8fS0pLU1NRCF7USBEEQBEF4HaJTLxSpdOnS77V+IyOjf7W+ffv2UaNGDfnz23zPITs7G21tbczNzd9amSVVc9IeNJQf5lMhQRCKJ2lmq/fdBEEQPkAi/OYN7N69m88//1xewbR169Zcu3ZNLc+tW7fo2rUrpUuXRl9fHxcXF44fP15gedevX8fGxoavvvqK3Nxcbty4QZs2bTAxMUFfX58aNWqwa9cuOX90dDSurq4olUosLCwYM2YMOTk58n5PT08CAgIICgqidOnSmJubExwcLO/v1q0bXbt2VWvD06dPKVOmDOHh4XIZL4bfvMqff/5Jly5dMDExwdTUFF9fX5KSkoo85vz587Rq1QpDQ0MMDAxo1KiRfB1fDL/x9/cnOjqahQsXolAoUCgU8jV7eaGrc+fOoaGhke/7eBVTU1PMzc3lraibis2bN1OjRg2USiVWVlb5Vni1srJi6tSp+Pv7Y2RkxIABAwoMv9m1axe2trbo6uri5eWV73r9888/dOvWjYoVK6Knp0etWrX48ccfS3RegiAIgiB82kSn/g1kZmYyYsQIYmNj2b9/PxoaGrRr147c3FwAMjIy8PDwICUlhW3btnHmzBmCgoLk/S86d+4cbm5udOrUidDQUDQ0NBgyZAhZWVkcOnSIhIQEZs2ahUqlAp53nn18fKhXrx5nzpwhNDSUsLAwpk6dqlbuqlWr0NfX5/jx48yePZvJkyezd+9e4HloybZt28jIyJDz79mzh8zMzALnvH+VR48e4eXlhUql4tChQxw5cgSVSkWLFi3Izs4u8Jg///wTd3d3dHR0OHDgAHFxcfTt21ft5iTPwoULadCgAQMGDCA1NZXU1FQqVapE37595ZuQPCtXrqRRo0bvbIXZuLg4OnfuTNeuXUlISCA4OJgJEyYQERGhlm/OnDnUrFmTuLi4AueWv3nzJu3bt8fHx4f4+Hj69+/PmDFj1PI8efKEunXrsmPHDs6dO8fAgQPp2bNnoTeHgiAIgiD894jwmzfwcsc3LCyMsmXLcuHCBWrWrMn69ev5+++/iY2NlcNYCloF9ffff6d169aMHTuWUaNGyenJycl06NCBWrVqAWBtbS3vW7p0KZaWlixZsgSFQoG9vT0pKSmMHj2aiRMnyotjOTo6MmnSJACqVavGkiVL2L9/P82aNcPb2xt9fX22bNlCz549AVi/fj1t2rR5rbnMN2zYgIaGBj/88IO80FN4eDjGxsZERUXRvHnzfMd89913GBkZsWHDBjl239bWtsDyjYyM0NbWRk9PTy2EpU+fPkycOJETJ07g6urK06dPWbt2LXPmzCnxOTRs2FBtYbHDhw9Tp06dfPm+/fZbmjRpInfUbW1tuXDhAnPmzMHf31/O17hxY7Xv9OVR+NDQUKytrZk/fz4KhQI7Ozv5Bi5PhQoV1MoYNmwYu3fv5qeffuKzzz4r8DyysrLIysqSP6enpxfvAgiCIAiC8FESI/Vv4Nq1a3Tv3h1ra2sMDQ3lFy2Tk5MBiI+Pp06dOkXGpScnJ9O0aVPGjx+v1nEDCAgIYOrUqbi5uTFp0iTOnj0r70tMTKRBgwZqq6S6ubmRkZHBrVu35DRHR0e1Mi0sLLhz5w4AWlpadOrUiXXr1gHPnzz88ssv+Pn5vc7lIC4ujqtXr2JgYIBKpUKlUlG6dGmePHlSaBhMfHw8jRo1eqOXcS0sLGjVqhUrV64EYMeOHTx58oROnTqVuKyNGzcSHx8vbw4ODgXmS0xMxM3NTS3Nzc2NK1eu8OzZMznNxcWlyPoSExOpX7++2vfYoEEDtTzPnj1j2rRpODo6Ympqikql4rfffpN/ZwWZMWMGRkZG8mZpaVlkOwRBEARB+LiJTv0baNOmDf/88w8rVqzg+PHjcjhEXqhJcV6yNDMzw9XVlQ0bNuQbTe3fvz9//PEHPXv2JCEhARcXFxYvXgyAJElqHcG8NEAt/eXOskKhUAv/8fPzY9++fdy5c4etW7eio6NDy5Yti3sJ1OTm5lK3bl21TnF8fDyXL1+me/fuBR7ztl5E7d+/Pxs2bODx48eEh4fTpUuX15om1NLSEhsbG3lTKpUF5ivq+r9IX1+/yPqKs6DzvHnzmD9/PkFBQRw4cID4+Hi8vb0LDWkCGDt2LGlpafJ28+bNV9YjCIIgCMLHS3TqX9M///xDYmIi48ePp0mTJlSvXp379++r5XF0dCQ+Pp579+4VWo6uri47duxAR0cHb29vHj58qLbf0tKSQYMGERkZyciRI1mxYgUADg4OxMTEqHUKY2JiMDAwoEKFCsU+j4YNG2JpacnGjRtZt24dnTp1Qltbu9jHv8jZ2ZkrV65QtmxZtY6xjY1NoS+cOjo6cvjwYZ4+fVqsOrS1tdVGwvP4+Pigr69PaGgov/76K3379n2tcyguBwcHjhw5opYWExODra0tpUqVKlE5x44dU0t7+fPhw4fx9fWlR48e1K5dG2tra65cuVJkuUqlEkNDQ7VNEARBEIRPl4ipf015s7t8//33WFhYkJycnO8Fx27dujF9+nTatm3LjBkzsLCw4PTp05QvX14txEJfX5+dO3fSsmVLWrZsye7du1GpVAwfPpyWLVtia2vL/fv3OXDgANWrVwdg8ODBLFiwgGHDhjF06FAuXbrEpEmTGDFihFpM+KsoFAq6d+/OsmXLuHz5MgcPHnzta+Ln58ecOXPw9fVl8uTJVKxYkeTkZCIjIwkMDKRixYr5jhk6dCiLFy+ma9eujB07FiMjI44dO4arqyt2dnb58ltZWXH8+HGSkpLk8B4NDQ1KlSqFv78/Y8eOxcbGJl8Iy9s2cuRI6tWrx5QpU+jSpQu///47S5YsYenSpSUqZ9CgQcybN48RI0bw5ZdfEhcXl+9lWxsbGzZv3kxMTAwmJiZ8++233L59W/4tlMS5EG/RwRcEQRCET5AYqS+h3NxcNDU10dDQYMOGDcTFxVGzZk2++eabfC9mamtr89tvv1G2bFl8fHyoVasWM2fOLHAkV6VS8euvvyJJEj4+PmRmZvLs2TOGDBlC9erVadGiBXZ2dnKnsUKFCuzatYsTJ05Qu3ZtBg0aRL9+/Rg/fnyJz8nPz48LFy5QoUKFfHHiJaGnp8ehQ4eoVKkS7du3p3r16vTt25fHjx8X2pE0NTXlwIED8kxBdevWZcWKFYXG2I8aNYpSpUrh4OCAmZmZWlx5v379yM7OLnCU3t/fH09Pz9c+t5c5OzuzadMmNmzYQM2aNZk4cSKTJ09We0m2OCpVqsTmzZvZvn07tWvXZtmyZUyfPl0tz4QJE3B2dsbb2xtPT0/Mzc0/iFV2BUEQBEH4cCik4gT1CrIWLVpgY2PDkiVL3ndThJccPXoUT09Pbt26Rbly5dT2eXp64unpqTZP/39Jeno6RkZGpKWliZF6QRAEQfhIlOTvtwi/Kab79+8TExNDVFQUgwYNet/NEV6QlZXFzZs3mTBhAp07d87XoX/48CHXrl1jx44d76mFgiAIgiAI75YIvymmvn378uWXXzJy5Eh8fX3fd3OEF/z444/Y2dmRlpbG7Nmz8+03MDDg5s2b8sJdgiAIgiAInxoRfiMI/wEi/EYQBEEQPj4l+fstRuoFoZisrKxYsGDBG5fj6enJ8OHD/5W6BEEQBEH4b/jPd+r9/f1RKBT5tqtXr76X9ly9epU+ffpQsWJFlEolVapUoVu3bpw8efK9tOddSU9PZ9y4cdjb26Ojo4O5uTlNmzYlMjJSnnvf09NT/j6USiUVKlSgTZs2REZG5ivvxe/OwMAAFxeXAvMV5cX6XtxycnLeyjnniYyMZMqUKW+1TEEQBEEQ/tvEi7I8n9EmPDxcLc3MzOyd1ff06dMCp2w8efIkTZo0oWbNmixfvhx7e3sePnzIL7/8wsiRI4mOjn6t+rKzs197Qal3UfaDBw/4/PPPSUtLY+rUqdSrVw9NTU2io6MJCgqicePGGBsbAzBgwAAmT57M06dP+fPPP9myZQtdu3bF39+f77//Xq3c8PBwWrRowYMHD5gzZw6dOnXiyJEjJZqzPq++F2lqvp3/TPK+99KlS7+V8l5HzUl70FCWfKVdQRD+XUkzW73vJgiC8JH5z4/Uw/PVN83NzdW2vLnko6OjcXV1RalUYmFhwZgxY9RGbgsKk3ByclKbOlGhULBs2TJ8fX3R19dn6tSp+dogSRL+/v5Uq1aNw4cP06pVK6pWrYqTkxOTJk3il19+kfMmJCTQuHFjdHV1MTU1ZeDAgWRkZMj7/f395QWvypcvj62tLUlJSSgUCiIjI/Hy8kJPT4/atWvz+++/q7UjJiYGd3d3dHV1sbS0JCAggMzMTLXznTp1Kv7+/hgZGTFgwACys7MZOnQoFhYW6OjoYGVlxYwZMwq93v/73/9ISkri+PHj9O7dGwcHB2xtbRkwYADx8fFqL7Tq6elhbm6OpaUl9evXZ9asWSxfvpwVK1awb98+tXKNjY0xNzfH3t6eZcuWoaOjw7Zt2wptR0Hy6ntxK0xycjK+vr6oVCoMDQ3p3Lkzf/31l7w/ODgYJycnVq5cibW1NUqlEkmS8oXf3LlzhzZt2qCrq0uVKlVYt25dvrq+/fZbatWqhb6+PpaWlgwePFjtOxcEQRAE4b9NdOqL8Oeff+Lj40O9evU4c+YMoaGhhIWFFdgpf5VJkybh6+tLQkJCgYsjxcfHc/78eUaOHFngirB5I9ePHj2iRYsWmJiYEBsby08//cS+ffsYOnSoWv79+/eTmJjI3r171aZyHDduHKNGjSI+Ph5bW1u6desm36QkJCTg7e1N+/btOXv2LBs3buTIkSP5yp4zZw41a9YkLi6OCRMmsGjRIrZt28amTZu4dOkSa9euxcrKqsDrkJuby4YNG/Dz86N8+fL59qtUqleOjPfu3RsTE5Miw2u0tLTQ1NTk6dOnRZb1uiRJom3btty7d4/o6Gj27t3LtWvX6NKli1q+q1evsmnTJjZv3kx8fHyBZfn7+5OUlMSBAwf4+eefWbp0KXfu3FHLo6GhwaJFizh37hyrVq3iwIEDBAUFFdq+rKws0tPT1TZBEARBED5dIvwG2LFjh9rocMuWLfnpp59YunQplpaWLFmyBIVCgb29PSkpKYwePZqJEycW2PkuTPfu3QvszOe5cuUKAPb29kWWs27dOh4/fszq1avR19cHYMmSJbRp04ZZs2bJc7Tr6+vzww8/yKExSUlJwPMVWVu1ev5YNyQkhBo1anD16lXs7e2ZM2cO3bt3l0eRq1WrxqJFi/Dw8CA0NBQdHR0AGjduzKhRo+Q2JScnU61aNT7//HMUCgWVK1cutP13797l/v37rzzPomhoaMhPHwqSlZXFnDlzSE9Pp0mTJiUqe+nSpfzwww/y5y+//JJ58+bly7dv3z7Onj3L9evXsbS0BGDNmjXUqFGD2NhY6tWrBzwPT1qzZk2h4VyXL1/m119/5dixY3z22WcAhIWFUb16dbV8L47sV6lShSlTpvDVV1/JKwy/bMaMGYSEhBT/xAVBEARB+KiJTj3g5eVFaGio/Dmvs5yYmEiDBg1QKBTyPjc3NzIyMrh16xaVKlUqdh0uLi5F7s97OfTFugqSmJhI7dq15TbmtSk3N5dLly7JnfpatWoVGOvu6Ogo/9vCwgJ4Hv5hb29PXFwcV69eVQv/kCSJ3Nxcrl+/Lnc0Xz4Xf39/mjVrhp2dHS1atKB169Y0b978jc7zVSRJyldGt27dKFWqFI8fP8bIyIi5c+fSsmXLEpXr5+fHuHHj5M95T0helpiYiKWlpdyhB3BwcMDY2JjExES5U1+5cuUi389ITExEU1NT7Zra29vnq/fgwYNMnz6dCxcukJ6eTk5ODk+ePCEzM1Ptt5Bn7NixjBgxQv6cnp6u1lZBEARBED4tolPP8068jY1NvvSCOo4vd0o1NDR4ear/gkI+Cup4vcjW1hZ43slzcnIqNF9BbcrzYnph9b34gm5e/tzcXPl/v/zySwICAvId9+INzMtlOzs7c/36dX799Vf27dtH586dadq0KT///HO+cszMzDAxMSExMbGwU3ylZ8+eceXKFbnjnGf+/Pk0bdoUQ0NDypYt+1plGxkZFfhbeFlh38PL6a/63otzk3Pjxg18fHwYNGgQU6ZMoXTp0hw5coR+/foVGl6kVCpRKpWvPA9BEARBED4NIqa+CA4ODsTExKh12mNiYjAwMKBChQrA805qamqqvD89PZ3r16+XuC4nJyccHByYN2+e3Ml+0YMHD+Q2xcfHq728evToUTkk5U04Oztz/vx5bGxs8m2vmuHG0NCQLl26sGLFCjZu3MjmzZu5d+9evnwaGhp06dKFdevWkZKSkm9/ZmbmK6eQXLVqFffv36dDhw5q6ebm5tjY2Lx2h74kHBwcSE5O5ubNm3LahQsXSEtLyxc6U5Tq1auTk5OjNmXppUuX5O8bns+KlJOTw7x586hfvz62trYFXjtBEARBEP67xEh9EQYPHsyCBQsYNmwYQ4cO5dKlS0yaNIkRI0bI8fSNGzcmIiKCNm3aYGJiwoQJE+SZc0pCoVAQHh5O06ZNcXd353//+x/29vZkZGSwfft2fvvtN6Kjo/Hz82PSpEn07t2b4OBg/v77b4YNG0bPnj3l0JvXNXr0aOrXr8+QIUMYMGAA+vr68su2ixcvLvS4+fPnY2FhgZOTExoaGvz000+Ym5sXGroyffp0oqKi+Oyzz5g2bRouLi5oaWlx+PBhZsyYQWxsrNqLwbdv3yYnJ4c///yTyMhI5s+fz1dffYWXl9cbne+baNq0KY6Ojvj5+bFgwQJycnIYPHgwHh4erwy1elFeyNKAAQP4/vvv0dTUZPjw4ejq6sp5qlatSk5ODosXL6ZNmzYcPXqUZcuWvVa7z4V4ixVlBUEQBOETJEbqi1ChQgV27drFiRMnqF27NoMGDaJfv36MHz9ezjN27Fjc3d1p3bo1Pj4+tG3blqpVq75Wfa6urpw8eZKqVasyYMAAqlevzhdffMH58+flaTP19PTYs2cP9+7do169enTs2JEmTZqwZMmSNz5fR0dHoqOjuXLlCo0aNaJOnTpMmDBBjr0vjEqlYtasWbi4uFCvXj2SkpLYtWtXoS8Sm5iYcOzYMXr06MHUqVOpU6cOjRo14scff2TOnDkYGRnJeVesWIGFhQVVq1alXbt2XLhwgY0bNxb6gmhhoqKiUCgUhb5cW1IKhYKtW7diYmKCu7s7TZs2xdramo0bN5a4rPDwcCwtLfHw8KB9+/YMHDhQ7WmDk5MT3377LbNmzaJmzZqsW7euyClDBUEQBEH471FILweEC8InKCIigmnTpnHhwoUCF/761KWnp2NkZERaWpoYqRcEQRCEj0RJ/n6LkXrhP2H37t1Mnz79P9mhFwRBEATh0ydi6oX/hA0bNrzvJgiCIAiCILwzYqReEARBEARBED5yolMvvJHg4OAi59UXBEEQBEEQ3j3xouy/LCYmhkaNGtGsWTN2796tti84OJitW7cSHx//fhr3GjIyMsjKysLU1BR4vrrsgwcP2Lp161sp/+DBg8yZM4fjx4/z+PFjrKysaNmyJSNGjKBChQpERUXJU1sqFAoMDAywtramWbNmfPPNN2oz9wQHBxMSEgI8ny+/fPnyeHt7M2PGjCJXfc3j7+/PqlWriszzof7nlPeijeXwTWgo9d53cwThk5U0s9X7boIgCJ8Q8aLsB2zlypUMGzaMI0eOkJyc/L6b88ZUKpXcoX/bli9fTtOmTTE3N2fz5s1cuHCBZcuWkZaWxrx589TyXrp0iZSUFGJjYxk9ejT79u2jZs2aJCQkqOWrUaMGqampJCcnExoayvbt2+nVq1ex2rNw4UJSU1PlDZ5PR/lymiAIgiAIwr9NdOr/RZmZmWzatImvvvqK1q1bExERIe+LiIggJCSEM2fOoFAoUCgU8v5vv/2WWrVqoa+vj6WlJYMHDyYjI0M+9saNG/LiV/r6+tSoUYNdu3bJ+8+fP0+rVq0wNDTEwMCARo0ace3aNQByc3OZPHkyFStWRKlU4uTklO8Jwq1bt+jatSulS5dGX18fFxcXjh8/DqiH3wQHB7Nq1Sp++eUX+RyioqKA5wtb2draoqenh7W1NRMmTODp06eFXqtbt24REBBAQEAAK1euxNPTEysrK9zd3fnhhx+YOHGiWv6yZctibm6Ora0tXbt25ejRo5iZmfHVV1+p5dPU1MTc3JwKFSrQunVrAgIC+O2333j8+PErvz8jIyPMzc3lDcDY2Fj+/OzZM7p06YKJiQmmpqb4+vrK8+JfvHgRPT091q9fL5cXGRmJjo6OfOMRGxtLs2bNKFOmDEZGRnh4eHDq1Cm1NgQHB1OpUiWUSiXly5cnICDgle0WBEEQBOHTJzr1/6KNGzdiZ2eHnZ0dPXr0IDw8XA7X6NKlCyNHjpRHklNTU+nSpQvwPFRk0aJFnDt3jlWrVnHgwAGCgoLkcocMGUJWVhaHDh0iISGBWbNmoVKpAPjzzz9xd3dHR0eHAwcOEBcXR9++fcnJyQGejz7PmzePuXPncvbsWby9vfniiy+4cuUK8Dy8xsPDg5SUFLZt28aZM2cICgoiNzc33/mNGjWKzp0706JFC/kcGjZsCICBgQERERFcuHCBhQsXsmLFCubPn1/otfrpp5/Izs5WO88XFbZabR5dXV0GDRrE0aNHuXPnTpH5cnNz5evxuh49eoSXlxcqlYpDhw5x5MgRVCoVLVq0IDs7G3t7e+bOncvgwYO5ceMGKSkpDBgwgJkzZ1KrVi0AHj58SO/evTl8+DDHjh2jWrVq+Pj48PDhQwB+/vln5s+fz/Lly7ly5Qpbt26Vj31ZVlYW6enpapsgCIIgCJ8uMaXlvygsLIwePXoA0KJFCzIyMti/fz9NmzZFV1cXlUoljyS/aPjw4fK/q1SpwpQpU/jqq6/kVVWTk5Pp0KGD3MGztraW83/33XcYGRmxYcMGeY52W1tbef/cuXMZPXo0Xbt2BWDWrFkcPHiQBQsW8N1337F+/Xr+/vtvYmNjKV26NAA2NjYFnp9KpUJXV5esrKx85/DiKrxWVlaMHDmSjRs3Ftppv3LlCoaGhq9czbYo9vb2ACQlJamt0Jrn4sWLhIaG4urqioGBwWvXA8+nzNTQ0OCHH35AoVAAz0NzjI2NiYqKonnz5gwePJhdu3bRs2dPtLW1qVu3Ll9//bVcRuPGjdXKXL58OSYmJkRHR9O6dWuSk5MxNzenadOmaGlpUalSJVxdXQtsz4wZM+T3BwRBEARB+PSJkfp/yaVLlzhx4oTcedbU1KRLly6sXLnylccePHiQZs2aUaFCBQwMDOjVqxf//PMPmZmZAAQEBDB16lTc3NyYNGkSZ8+elY+Nj4+nUaNGBS66lJ6eTkpKCm5ubmrpbm5uJCYmysfXqVNH7tC/rp9//pnPP/8cc3NzVCoVEyZMKPKdAkmS5M7x68p7CvJiOQkJCfLNh4ODA5aWlqxbt+6N6gGIi4vj6tWrGBgYoFKpUKlUlC5dmidPnsihTvD8nYqzZ89y6tQpIiIi1Np2584dBg0ahK2tLUZGRhgZGZGRkSFfp06dOvH48WOsra0ZMGAAW7ZsKfQJw9ixY0lLS5O3mzdvvvE5CoIgCILw4RKd+n9JWFgYOTk5VKhQAU1NTTQ1NQkNDSUyMpL79+8XetyNGzfw8fGhZs2abN68mbi4OL777jsAOSa9f//+/PHHH/Ts2ZOEhARcXFxYvHgx8Dy85FVe7jy/2KEuzvGvcuzYMbp27UrLli3ZsWMHp0+fZty4cWRnZxd6jK2tLWlpaW/08mnejYmVlZWcZmdnR3x8PBcuXODx48ccOHCg0CcPJZGbm0vdunWJj49X2y5fvkz37t3lfGfOnCEzM5PMzExu376tVoa/vz9xcXEsWLCAmJgY4uPjMTU1la+TpaUlly5d4rvvvkNXV5fBgwfj7u5e4LsJSqUSQ0NDtU0QBEEQhE+X6NT/C3Jycli9ejXz5s1T6/CdOXOGypUryyPF2traPHv2TO3YkydPkpOTw7x586hfvz62trakpKTkq8PS0pJBgwYRGRnJyJEjWbFiBQCOjo4cPny4wI6foaEh5cuX58iRI2rpMTExVK9eXT4+Pj6ee/fuFetcCzqHo0ePUrlyZcaNG4eLiwvVqlXjxo0bRZbTsWNHtLW1mT17doH7Hzx4UOTxjx8/5vvvv8fd3V1tukptbW1sbGyoUqUKSqWyWOdUHM7Ozly5coWyZctiY2OjthkZGQFw7949/P39GTduHH369MHPz0/tBd3Dhw8TEBCAj48PNWrUQKlUcvfuXbV6dHV1+eKLL1i0aBFRUVH8/vvv+Wb4EQRBEAThv0fE1P8LduzYwf379+nXr5/cwcvTsWNHwsLCGDp0KFZWVly/fp34+HgqVqyIgYEBVatWJScnh8WLF9OmTRuOHj3KsmXL1MoYPnw4LVu2xNbWlvv373PgwAG5Uz506FAWL15M165dGTt2LEZGRhw7dgxXV1fs7OwIDAxk0qRJVK1aFScnJ8LDw4mPj5dvNLp168b06dNp27YtM2bMwMLCgtOnT1O+fHkaNGiQ71ytrKzYs2cPly5dwtTUFCMjI2xsbEhOTmbDhg3Uq1ePnTt3smXLliKvmaWlJfPnz2fo0KGkp6fTq1cvrKysuHXrFqtXr0alUqlNa3nnzh2ePHnCw4cPiYuLY/bs2dy9e5fIyMjX+s5Kys/Pjzlz5uDr6yvPJpScnExkZCSBgYFUrFiRQYMGYWlpyfjx48nOzsbZ2ZlRo0bJT15sbGxYs2YNLi4upKenExgYqPakJCIigmfPnvHZZ5+hp6fHmjVr0NXVpXLlysVu57kQbzFqLwiCIAifIkl451q3bi35+PgUuC8uLk4CpLi4OOnJkydShw4dJGNjYwmQwsPDJUmSpG+//VaysLCQdHV1JW9vb2n16tUSIN2/f1+SJEkaOnSoVLVqVUmpVEpmZmZSz549pbt378p1nDlzRmrevLmkp6cnGRgYSI0aNZKuXbsmSZIkPXv2TAoJCZEqVKggaWlpSbVr15Z+/fVXtTYmJSVJHTp0kAwNDSU9PT3JxcVFOn78uCRJkjRp0iSpdu3act47d+5IzZo1k1QqlQRIBw8elCRJkgIDAyVTU1NJpVJJXbp0kebPny8ZGRm98trt3btX8vb2lkxMTCQdHR3J3t5eGjVqlJSSkiJJkiQdPHhQAiRAUigUkoGBgVS7dm0pMDBQSk1NVSvr5bYWxMPDQ+rdu/cr2yVJkgRIW7ZskT+npqZKvXr1ksqUKSMplUrJ2tpaGjBggJSWliatWrVK0tfXly5fviznP3nypKStrS3t3LlTkiRJOnXqlOTi4iIplUqpWrVq0k8//SRVrlxZmj9/viRJkrRlyxbps88+kwwNDSV9fX2pfv360r59+4rV1rS0NAmQ0tLSipVfEARBEIT3ryR/v8WKsoLwAisrK4KDg/H393/fTXmrSrIinSAIgiAIHwaxoqwgvIaLFy/KswsJgiAIgiB8TERMvSD8H3t7e/HSqSAIgiAIHyUxUi8IgiAIgiAIHznRqRc+CQqFgq1bt77vZgiCIAiCILwXIvzmLbl9+zYzZsxg586d3Lp1CyMjI6pVq0aPHj3o1asXenp677uJr5SUlESVKlU4ffo0Tk5O77s5JZKamoqJiQnw7s7DysqqyPn1PTw8iIqKemv1vQs1J+1BQ/nh/xYF4WOTNLPV+26CIAj/caJT/xb88ccfuLm5YWxszPTp06lVqxY5OTlcvnyZlStXUr58eb744ot3Vv/Tp0/R0tJ6Z+V/DMzNzd95HbGxsfLCWjExMXTo0IFLly7Jb6Nra2u/8zYIgiAIgiAURITfvAWDBw9GU1OTkydP0rlzZ6pXr06tWrXo0KEDO3fupE2bNnLetLQ0Bg4cSNmyZTE0NKRx48acOXNGrbzQ0FCqVq2KtrY2dnZ2rFmzRm2/QqFg2bJl+Pr6oq+vz9SpUwGYOnUqZcuWxcDAgP79+zNmzJh8I9Xh4eFUr14dHR0d7O3tWbp0qbyvSpUqANSpUweFQoGnpycAubm58oJKSqUSJycndu/eLR/XoUMHhg0bJn8ePnw4CoWC8+fPA89X1DUwMGDPnj0AeHp6EhAQQFBQEKVLl8bc3Jzg4OBXXueVK1fKK61aWFgwdOhQtWuSF35T0HkcOnQILS0tbt++rVbmyJEjcXd3f2XdAGZmZpibm2Nubk7p0qUBKFu2rJx28eJF3N3d0dXVxdLSkoCAADIzMwHkBbOuXLkilzds2DBsbW3lPGvXrsXFxQUDAwPMzc3p3r07d+7ckfPfv38fPz8/zMzM0NXVpVq1aoSHhxer7YIgCIIgfNpEp/4N/fPPP/z2228MGTIEfX39AvMoFAoAJEmiVatW3L59m127dhEXF4ezszNNmjTh3r17AGzZsoWvv/6akSNHcu7cOb788kv69OnDwYMH1cqcNGkSvr6+JCQk0LdvX9atW8e0adOYNWsWcXFxVKpUidDQULVjVqxYwbhx45g2bRqJiYlMnz6dCRMmsGrVKgBOnDgBwL59+0hNTZVXY124cCHz5s1j7ty5nD17Fm9vb7744gu5g+rp6akWdhIdHU2ZMmWIjo4Gno9wP3nyBDc3NznPqlWr0NfX5/jx48yePZvJkyezd+/eQq9zaGgoQ4YMYeDAgSQkJLBt2zZsbGwKzFvQebi7u2Ntba12g5STk8PatWvp06dPofUWV0JCAt7e3rRv356zZ8+yceNGjhw5It949OrVCx8fH/z8/MjJyWH37t0sX76cdevWyb+b7OxspkyZwpkzZ9i6dSvXr19Xmy9/woQJXLhwgV9//ZXExERCQ0MpU6ZMge3JysoiPT1dbRMEQRAE4dMlFp96Q8ePH6d+/fpERkbSrl07Ob1MmTI8efIEgCFDhjBr1iwOHDhAu3btuHPnDkqlUs5rY2NDUFAQAwcOxM3NjRo1avD999/L+zt37kxmZiY7d+4Ent8kDB8+nPnz58t56tevj4uLC0uWLJHTPv/8czIyMoiPjwegUqVKzJo1i27dusl5pk6dyq5du4iJiSk0Fr1ChQoMGTKE//3vf3Kaq6sr9erV47vvviMhIYHatWtz584dSpUqRbly5Zg0aRJnzpxh06ZNzJgxg19++YVjx44Bz28Cnj17xuHDh9XKa9y4MTNnzizwOleoUIE+ffrITyVeplAo2LJlC23bti30PGbPnk1ERAQXLlwA4JdffqFHjx7cvn270BuywkRFReHl5cX9+/cxNjamV69e6Orqsnz5cjnPkSNH8PDwIDMzEx0dHe7fv4+joyNt2rQhMjKSYcOGMW7cuELriI2NxdXVlYcPH6JSqfjiiy8oU6YMK1eufGX7goODCQkJyZduOXyTiKkXhHdAxNQLgvAuiMWn3oO80fg8J06cID4+nho1apCVlQVAXFwcGRkZmJqaolKp5O369etcu3YNgMTERLURbQA3NzcSExPV0lxcXNQ+X7p0CVdXV7W0Fz///fff3Lx5k379+qnVPXXqVLnugqSnp5OSklJkm2rWrImpqSnR0dEcPnyY2rVr88UXX8gj9VFRUXh4eKgd7+joqPbZwsJCLdTkRXfu3CElJYUmTZoU2s7i8Pf35+rVq/LNxcqVK+ncuXOJO/QFiYuLIyIiQu3aent7k5uby/Xr1wEwMTEhLCxMDq8aM2aMWhmnT5/G19eXypUrY2BgIIc/JScnA/DVV1+xYcMGnJycCAoKIiYmptD2jB07lrS0NHm7efPmG5+jIAiCIAgfLvGi7BuysbFBoVBw8eJFtXRra2sAdHV15bTc3FwsLCwKnCHF2NhY/vfLNwiSJOVLK6gjWtBxL9YNz0NwPvvsM7V8pUqVyldWccrOS1MoFLi7uxMVFYW2tjaenp7UrFmTZ8+ekZCQQExMDMOHD1c7/uUXexUKhdzGl714Dd9E2bJladOmDeHh4VhbW7Nr1663NltNbm4uX375JQEBAfn2VapUSf73oUOHKFWqFCkpKWRmZsp33ZmZmTRv3pzmzZuzdu1azMzMSE5Oxtvbm+zsbABatmzJjRs32LlzJ/v27aNJkyYMGTKEuXPn5qtTqVSqPQ0SBEEQBOHTJkbq35CpqSnNmjVjyZIl8guPhXF2dub27dtoampiY2OjtuXFRlevXp0jR46oHRcTE0P16tWLLNvOzk6OJc9z8uRJ+d/lypWjQoUK/PHHH/nqznuxNG/2lrwZXgAMDQ0pX778K9uUF1cfFRWFp6cnCoWCRo0aMXfuXB4/fpxvpL8kDAwMsLKyYv/+/cXKX9B55Onfvz8bNmxg+fLlVK1a9Y3a9SJnZ2fOnz+f79ra2NjI7YmJiWH27Nls374dQ0NDtZeLL168yN27d5k5cyaNGjXC3t6+wCcXZmZm+Pv7s3btWhYsWKAWpiUIgiAIwn+XGKl/C5YuXYqbmxsuLi4EBwfj6OiIhoYGsbGxXLx4kbp16wLQtGlTGjRoQNu2bZk1axZ2dnakpKSwa9cu2rZti4uLC4GBgXTu3Fl+gXb79u1ERkayb9++ItswbNgwBgwYgIuLCw0bNmTjxo2cPXtWfmIAz+OsAwICMDQ0pGXLlmRlZXHy5Enu37/PiBEjKFu2LLq6uuzevZuKFSuio6ODkZERgYGBTJo0iapVq+Lk5ER4eDjx8fGsW7dOLtvT05Ovv/4aTU1NGjVqJKeNHDkSZ2fnV8aBvUpwcDCDBg2ibNmytGzZkocPH3L06FG1jnGews4DwNvbGyMjI6ZOncrkyZPfqE0vGj16NPXr12fIkCEMGDAAfX19EhMT2bt3L4sXL+bhw4f07NmTYcOG0bJlSypVqoSLiwutW7emU6dOVKpUCW1tbRYvXsygQYM4d+4cU6ZMUatj4sSJ1K1bVw7p2rFjxytv9l52LsT7jb8LQRAEQRA+QJLwVqSkpEhDhw6VqlSpImlpaUkqlUpydXWV5syZI2VmZsr50tPTpWHDhknly5eXtLS0JEtLS8nPz09KTk6W8yxdulSytraWtLS0JFtbW2n16tVqdQHSli1b8rVh8uTJUpkyZSSVSiX17dtXCggIkOrXr6+WZ926dZKTk5Okra0tmZiYSO7u7lJkZKS8f8WKFZKlpaWkoaEheXh4SJIkSc+ePZNCQkKkChUqSFpaWlLt2rWlX3/9Va3c3NxcyczMTHJxcZHTTp8+LQHSqFGj1PJ6eHhIX3/9tVqar6+v1Lt370KvryRJ0rJlyyQ7OztJS0tLsrCwkIYNG1boNSnoPPJMmDBBKlWqlJSSkpKvDkAKDw8vsh2SJEkHDx6UAOn+/fty2okTJ6RmzZpJKpVK0tfXlxwdHaVp06ZJkiRJffr0kWrVqiU9efJEzr9w4UKpdOnS0q1btyRJkqT169dLVlZWklKplBo0aCBt27ZNAqTTp09LkiRJU6ZMkapXry7p6upKpUuXlnx9faU//vjjlW2VJElKS0uTACktLa1Y+QVBEARBeP9K8vdbzH7zCWvWrBnm5ub55rn/rxswYAB//fUX27ZtU0tPSkqiWrVqXLhwgWrVqr2n1r0bJXl7XhAEQRCED0NJ/n6L8JtPxKNHj1i2bBne3t6UKlWKH3/8kX379hU59/t/TVpaGrGxsaxbt45ffvkl3/7du3czcODAT65DLwiCIAjCp0906j8RCoWCXbt2MXXqVLKysrCzs2Pz5s00bdr0fTftg+Hr68uJEyf48ssvadasWb79gwYNeg+tEgRBEARBeHMi/EYQ/gNE+I0gCIIgfHzE4lPCK0VERKjNjf8mkpKSUCgU8sq1UVFRKBQKHjx48NbrKoxCoWDr1q3vtA5BEARBEIQPlQi/+YD4+/vz4MGDf6Vz2qVLF3x8fN5KWZaWlqSmpspz7b8PqampmJiYAM9vMqpUqcLp06dxcnJ6a3VYWVlx48aNQvd7eHi8tcWs3pWak/agodR7380QhE9G0sxW77sJgiAIgOjU/2fp6uq+tZVaS5Uqhbm5+Vsp63X9G/XHxsbKC1rFxMTQoUMHLl26JD8Oy1tkShAEQRAE4d9WovCbwYMHk5GRIX9es2aN2ucHDx68tdFfIb8LFy7g4+ODSqWiXLly9OzZk7t37wKwfft2jI2Nyc3NBSA+Ph6FQkFgYKB8/Jdffkm3bt2A/CExZ86cwcvLCwMDAwwNDalbty4nT54kLS1NXsjpRZGRkejr65ORkZEv/KY4tm/fTt26ddHR0cHa2pqQkBBycnKKPGblypXUqFEDpVKJhYUFQ4cOlfe9GH6Tt0JunTp1UCgUeHp6cujQIbS0tLh9+7ZamSNHjsTd3b1YbTYzM8Pc3Bxzc3NKly4NPF/oKi/t4sWLuLu7o6uri6WlJQEBAfIqw6tXr0alUnHlyhW5vGHDhmFrayvnWbt2LS4uLhgYGGBubk737t3VVpW9f/8+fn5+mJmZoaurS7Vq1QgPDy9W2wVBEARB+LSVqFO/fPlyHj16JH8eMmSIWqcjKyuLPXv2vL3WCbLU1FQ8PDxwcnLi5MmT7N69m7/++ovOnTsD4O7uzsOHDzl9+jQA0dHRlClThujoaLmMqKgoPDw8Cizfz8+PihUrEhsbS1xcHGPGjEFLSwsjIyNatWqltnoswPr16/H19UWlUpX4XPbs2UOPHj0ICAjgwoULLF++nIiICKZNm1boMaGhoQwZMoSBAweSkJDAtm3bsLGxKTDviRMnANi3bx+pqalERkbi7u6OtbW12pz9OTk5rF27lj59+pT4HF6WkJCAt7c37du35+zZs2zcuJEjR47INx69evXCx8cHPz8/cnJy2L17N8uXL2fdunXo6+sDkJ2dzZQpUzhz5gxbt27l+vXr+Pv7y3VMmDCBCxcu8Ouvv5KYmEhoaGihIU9ZWVmkp6erbYIgCIIgfLpKFH7z8kQ5YuKcf09oaCjOzs5Mnz5dTlu5ciWWlpZcvnwZW1tbnJyciIqKom7dukRFRfHNN98QEhLCw4cPyczM5PLly3h6ehZYfnJyMoGBgdjb2wOozdXu5+dHr169ePToEXp6eqSnp7Nz5042b978Wucybdo0xowZQ+/evQGwtrZmypQpBAUFMWnSpAKPmTp1KiNHjuTrr7+W0+rVq1dgXjMzMwBMTU3VwnL69etHeHi4/PRi586dPHr0SL4xehNz5syhe/fuDB8+HHh+/RYtWoSHhwehoaHo6OiwfPlyHB0dCQgIIDIykkmTJqmdQ9++feV/W1tbs2jRIlxdXcnIyEClUpGcnEydOnVwcXEBnsf4F2bGjBmEhIS88XkJgiAIgvBxELPffCTi4uI4ePAgKpVK3vI64NeuXQPA09OTqKgoJEni8OHD+Pr6UrNmTY4cOcLBgwcpV66cfMzLRowYQf/+/WnatCkzZ86UywRo1aoVmpqa8gqsmzdvxsDAgObNm7/2uUyePFntXAYMGEBqaqrak6A8d+7cISUlhSZNmrxWfXn8/f25evUqx44dA57fFHXu3FkeKX8TcXFxREREqJ2Tt7c3ubm5XL9+HQATExPCwsIIDQ2latWqjBkzRq2M06dP4+vrS+XKlTEwMJBvwJKTkwH46quv2LBhA05OTgQFBRETE1Noe8aOHUtaWpq83bx5843PURAEQRCED5d4UfYjkZubS5s2bZg1a1a+fRYWFsDzTn1YWBhnzpxBQ0MDBwcHPDw8iI6O5v79+4WG3gAEBwfTvXt3du7cya+//sqkSZPYsGED7dq1Q1tbm44dO7J+/Xq6du3K+vXr6dKlC5qar/fzyc3NJSQkhPbt2+fbp6Ojky/tbb3QW7ZsWdq0aUN4eDjW1tbs2rXrrc1Wk5uby5dffklAQEC+fZUqVZL/fejQIUqVKkVKSgqZmZnyS7aZmZk0b96c5s2bs3btWszMzEhOTsbb25vs7GwAWrZsyY0bN9i5cyf79u2jSZMmDBkyhLlz5+arU6lUolQq38q5CYIgCILw4Stxr2zixIno6T2fEi87O5tp06ZhZGQEUOAoq/B2ODs7s3nzZqysrArtTOfF1S9YsAAPDw8UCgUeHh7MmDGD+/fvq4WuFMTW1hZbW1u++eYbunXrRnh4OO3atQOeh+A0b96c8+fPc/DgQaZMmfJG53Lp0qVCY+JfZmBggJWVFfv378fLy+uV+fNmocmbqeZF/fv3p2vXrlSsWJGqVavi5uZWssYXwtnZmfPnzxd5TjExMcyePZvt27czZsyY/8fencf1mP2P/3+8itZXJaEy4iUpJclOaJlBtibMIFnKbjCEyTImsk6GrPOx9eaVPTNjGcNM9mxZ0hRRtkiYxjZNaAh1/f7w6/p6eRVlmMi5327XbXpd51znnOt6XXNzrvN6Xufw5ZdfsmrVKgDOnTvHnTt3CAsLw8bGBoCTJ09qlVGxYkUCAwMJDAykZcuWBAcHF9ipL8yZKd5i8SlBEARBKIWK1al3d3fn/Pnz8mc3NzcuX76slUd4fVlZWVqzyJQvX55hw4YRERFBjx49CA4OpkKFCly6dImoqCgiIiLQ1dXFzMwMV1dX1q5dy4IFC4Bn30fXrl158uRJofH0Dx8+JDg4mM8//5zq1atz/fp14uLi+Oyzz+Q8Hh4eWFpa0rNnT1QqFU2bNn3tc5w0aRIdO3bExsaGrl27oqOjw+nTp0lKSmL69OkFHhMaGsqQIUOoVKkS7dq14/79+xw5coQvv/xSK2+lSpXkGXuqVKmCgYGB/ODp7e2NmZkZ06dPZ+rUqa99Di8aN24cTZs2ZdiwYQwcOBBjY2NSUlLYvXs3ixYt4v79+/Tu3Zsvv/ySdu3aUbVqVRo2bEjHjh3p2rUrVatWRU9Pj0WLFjFkyBDOnDmj9eA0adIkGjRoQO3atcnJyWH79u04Ojq+sXMQBEEQBOE9JgnvjICAAAnQ2gICAiRJkqQLFy5InTt3lsqVKycZGhpKtWrVkoKCgqS8vDy5jDFjxkiAdObMGXlf3bp1pYoVK2rkU6vVkpmZmSRJkpSTkyP5+flJNjY2kp6enlS5cmVp+PDh0sOHDzXaFxwcLAHSpEmTNPZfuXJFAqSEhARJkiRp//79EiBlZmZq1ZUvOjpacnNzkwwNDSVTU1OpcePG0vLly196fZYuXSo5ODhIZcuWlaytraUvv/xSTgOkLVu2yJ8jIiIkGxsbSUdHR/Lw8NAoJyQkRNLV1ZX++OMPrToASa1Wv7QdBZ2jJEnSiRMnpNatW0tKpVIyNjaWXFxcpBkzZkiSJEl9+/aV6tSpIz169EjOv2DBAql8+fLS9evXJUmSpPXr10sqlUrS19eXmjVrJm3btk3juk6bNk1ydHSUDA0NpfLly0u+vr7S5cuXX9lWSZKkrKwsCZCysrKKlF8QBEEQhJJXnH+/FZIkprARPiwDBw7k5s2b8ou/+dLS0qhZsybJyckas/+UBvfu3cPMzIysrCwRfiMIgiAI74ni/PtdrPCbooYrTJo0qTjFCsJ/Iisri7i4ONatW8fPP/+slR4dHc2gQYNKXYdeEARBEITSr1gj9To6OlSuXJlKlSoVOke9QqHg999/f2MNFIQ3xdPTkxMnTjB48GDmzZtX0s35T4mRekEQBEF4/7y1kfq2bduyf/9+GjZsSL9+/ejQoQO6urr/qrHC+0OhULBlyxY6depU0k3RolKpCAoKkhd/Ksibmr5SEARBEAThXVOsxad+/fVXLl++TJMmTQgODqZKlSqMGzdOY0Yc4f0QGBiIQqHQ2i5dulToMRkZGbRr1+4/bGXRxcXFMWjQIPmzQqFg69atb7QOT0/PAq9Z/vayFV4FQRAEQRDepn/1ouzBgwdRq9Vs2rSJOnXqsGfPnje2UJDwdgUGBnLz5k3UarXG/ooVK2r9+vL48WN57vf3xdv4VeGvv/6SF4K6du0ajRs3Zs+ePdSuXRsAXV1dKlas+Mbqe5Pyf76zCfoBHX2jkm6OIJQKaWEdSroJgiCUcsUJvynWSP2LGjVqhJeXF46OjiQkJPDkyZN/U5zwH9PX18fKykpj09XVxdPTk+HDhzN69GgqVKhA69atAc3R78ePHzN8+HCsra0xMDBApVLx7bffymX//fffDBo0CEtLSwwMDHB2dmb79u1y+qZNm6hduzb6+vqoVCrCw8Nf2d5t27bRsGFDDAwMqFChgsaKtCqVivnz58t/A3Tu3FkeQU9LS0NHR0drQadFixZRrVq1Qt8ReV758uXl65TfebewsJD33b59m/bt26NUKrG0tKR3797cuXMHeBb6o6enx6FDh+TywsPDqVChAhkZGcCzF3VbtGhBuXLlsLCwoGPHjqSmpsr5X3XNBUEQBEH4cL1Wp/7o0aMMHDgQKysrFi1aREBAAH/88Yd4Aa8UWbVqFWXKlOHIkSMsW7ZMK33hwoVs27aNH374gfPnz7N27Vq5M52Xl0e7du2IjY1l7dq1JCcnExYWJv8CEB8fT7du3fDz8yMpKYnQ0FBCQkKIjIwstD07duygS5cudOjQgYSEBPbu3UvDhg0LzBsXFweAWq0mIyODuLg4VCoVrVq10vplQq1Wy6FI/0ZGRgYeHh64urpy8uRJoqOjuXnzJt26dQOehe4EBQXRu3dvsrKyOHXqFBMnTiQiIgJra2sAsrOzGT16NHFxcezduxcdHR06d+5MXl4e8PJr/qKcnBzu3bunsQmCIAiCUHoV60XZ7777DrVazd27d+nZsyeHDx+mTp06b6ttwlu2fft2lEql/Lldu3b8+OOPANjZ2fHdd98Vemx6ejo1a9akRYsWKBQKqlWrJqft2bOHEydOkJKSgr29PQC2trZy+ty5c/nkk08ICQkBwN7enuTkZGbPnk1gYGCB9c2YMQM/Pz+mTJki76tbt26BefNH0cuVK4eVlZW8f8CAAQwZMoS5c+eir6/PqVOnSExMZPPmzYWeZ1EtWbKE+vXrM3PmTHnfypUrsbGx4cKFC9jb2zN9+nT27NnDoEGDOHv2LL1796Zz585y/udX8AVYsWIFlSpVIjk5GWdn55de8xd9++23GtdKEARBEITSrVid+vHjx1O1alW6deuGQqHQGvXMN3fu3DfSOOHt8vLyYsmSJfJnY2Nj+e/CRsHzBQYG0rp1axwcHGjbti0dO3akTZs2ACQmJlKlShW5Q/+ilJQUfH19NfY1b96c+fPnk5ubW+CMSomJiQwcOLDI51aQTp06MXz4cLZs2YKfnx8rV67Ey8vrjbzgGh8fz/79+zUekvKlpqZib2+Pnp4ea9euxcXFhWrVqsnhQs/nCwkJ4dixY9y5c0ceoU9PT8fZ2fml1/xFEyZMYPTo0fLne/fuYWNj86/PUxAEQRCEd1OxOvXu7u4oFArOnj37ttoj/IeMjY2xs7MrNO1l6tevz5UrV/jtt9/Ys2cP3bp1o1WrVvz000+vfFlakiStcJdXxbS/iRew9fT06N27N2q1mi5durB+/XqtjvXrysvLw8fHh1mzZmml5YfXAMTGxgLPXrr966+/NK6zj48PNjY2REREULlyZfLy8nB2dpZfzn3ZNX+Rvr4++vr6b+TcBEEQBEF49xWrUy/m+RaeZ2pqSvfu3enevTuff/45bdu25a+//sLFxYXr16/LYScvcnJy4vDhwxr7YmNjsbe3L3TdAxcXF/bu3Uvfvn2L1LayZcuSm5urtX/AgAE4OzuzePFinjx5ovGy7b9Rv359Nm3ahEqlokyZgv+3Sk1NZdSoUURERPDDDz/Qp08fOXb+7t27pKSksGzZMlq2bAmgdY2g8Gtevnz5N3IegiAIgiC8n4rVqX+VpKQkVqxY8cZGP4V317x587C2tsbV1RUdHR1+/PFHrKysKFeuHB4eHri7u/PZZ58xd+5c7OzsOHfuHAqFgrZt2zJmzBgaNWrEtGnT6N69O0ePHuX7779n8eLFhdY3efJkPvnkE2rUqIGfnx9Pnz7lt99+Y+zYsQXmV6lU7N27l+bNm6Ovr4+5uTkAjo6ONG3alHHjxtGvX783NgXrsGHDiIiIoEePHgQHB1OhQgUuXbpEVFQUERERAPTu3Zs2bdrQt29f2rVrR506dQgPDyc4OBhzc3MsLCxYvnw51tbWpKenM378+CJf86I6M8VbvNAuCIIgCKXQv5rSEp7F6i5btozGjRtTt25dMZr/gVAqlcyaNYuGDRvSqFEj0tLS+PXXX9HReXZLbdq0iUaNGtGjRw+cnJwYO3asPHJev359fvjhB6KionB2dmbSpElMnTq10Jdk4dnsMT/++CPbtm3D1dWVjz/+mOPHjxeaPzw8nN27d2NjY0O9evU00vr378/jx4/p16+f1nEqlYrQ0NBiX4/KlStz5MgRcnNz8fb2xtnZmZEjR2JmZoaOjg4zZswgLS2N5cuXA2BlZcX//vc/vvnmGxITE9HR0SEqKor4+HicnZ0ZNWoUs2fP1qjjVddcEARBEIQP12svPnXgwAFWrFjBpk2bePToEcHBwQwYMKDQGG1BeFfMmDGDqKgokpKSNPY/fPiQ8uXL8+uvv+Ll5VVCrXs7irN4hSAIgiAI74a3tvhURkYGM2fOxM7ODj8/PypUqMCBAwfQ0dGhT58+okMvvNMePHhAXFwcixYtYsSIEVrpBw4c4OOPPy51HXpBEARBEEq/YsXUV69ena5du/J///d/tG7dWvzsL7xXhg8fzoYNG+jUqVOBoTdt27albdu2JdAyQRAEQRCEf6dYvfJq1apx+PBhDh48yIULF95WmwThrYiMjCQnJ4eNGzcWOsuOIAiCIAjC+6hYnfr8pekzMjJo1KgRDRo0YN68eQBa846/rwIDA+nUqVNJN+ODk5aWhkKhIDExsaSb8k5QKBRs3bq1pJshCIIgCMJ7otjxM82bN2flypVkZGQwZMgQfvjhB3Jzcxk6dCgRERHcvn37jTQsMDAQhUJBWFiYxv6tW7e+kQeIN9mJjIyMLNa0gv/Gl19+Sc2aNQtMu3HjBrq6umzevPk/acubZGNjQ0ZGBs7OzsCzNREUCgV///33G6/rbd9bgiAIgiAI/7XXnqdeqVQycOBABg4cSHJyMitWrOCbb75h6NChPHny5I00zsDAgFmzZjF48GB5nvE3IX+FzvdR//79+f777zl06JC8SFG+yMhILCws8PHxKaHWvT5dXV2srKz+s/re1r31rnOevBMdfaOSboYgvLPSwjqUdBMEQRBeyxt509XJyYnw8HBu3LjBxo0b30SRALRq1QorKyu+/fbbl+bbtGkTtWvXRl9fH5VKRXh4uEa6SqVi+vTpBAYGYmZmxsCBA6levToA9erVQ6FQ4OnpqXHMnDlzsLa2xsLCgmHDhv2rB5Xo6GhatGhBuXLlsLCwoGPHjqSmpsrpjx8/Zvjw4VhbW2NgYIBKpSr0nF1dXalfvz4rV67USouMjKRPnz6ULVuW5ORk2rdvj1KpxNLSkt69e3Pnzh057/379+nZsyfGxsZYW1szb948PD09CQoKkvOsXbuWhg0bYmJigpWVFf7+/ty6dUtOz8zMpGfPnlSsWBFDQ0Nq1qyJWq0u9Drk5eUxa9Ys7Ozs0NfXp2rVqsyYMQPQ/OUkLS1NnoHG3NwchUJBYGAgq1evxsLCgpycHI1yP/vsM/r06fOSb0BbUe+t2NhY3N3dMTQ0xMbGhhEjRpCdnQ3AhAkTaNq0qdYxLi4uTJ48GYC4uDhat25NhQoVMDMzw8PDg99//10j/8WLF3F3d8fAwAAnJyd2796tVea4ceOwt7fHyMgIW1tbQkJC3tjDsyAIgiAI779idep1dHTQ1dUtdNPX16dbt25vrHG6urrMnDmTRYsWcf369QLzxMfH061bN/z8/EhKSiI0NJSQkBAiIyM18s2ePRtnZ2fi4+MJCQnhxIkTAOzZs4eMjAyNkJX9+/eTmprK/v37WbVqFZGRkVrlFUd2djajR48mLi6OvXv3oqOjQ+fOncnLywNg4cKFbNu2jR9++EF+b0GlUhVaXv/+/fnxxx958OCBvO/AgQNcunSJfv36kZGRgYeHB66urpw8eZLo6Ghu3ryp8d2MHj2aI0eOsG3bNnbv3s2hQ4e0OpuPHz9m2rRpnDp1iq1bt3LlyhWNBaJCQkJITk7mt99+IyUlhSVLllChQoVC2z1hwgRmzZolH7d+/XosLS218tnY2LBp0ybg2XscGRkZLFiwgK5du5Kbm8u2bdvkvHfu3GH79u307du30HoLUpR7KykpCW9vb7p06cLp06fZuHEjhw8fZvjw4QD07NmT48ePazygnT17lqSkJHr27Ak8e3gKCAjg0KFDHDt2jJo1a9K+fXvu378PPHvQ6dKlC7q6uhw7doylS5cybtw4rbaYmJgQGRlJcnIyCxYsICIiQn6fpSA5OTncu3dPYxMEQRAEofQq1uJTP//8c6FpsbGxLFq0CIB//vnnXzcsMDCQv//+m61bt9KsWTOcnJxYsWIFW7dupXPnzuQ3u2fPnty+fZtdu3bJx44dO5YdO3Zw9uxZ4NlIfb169diyZYucJy0tjerVq5OQkICrq6tGvTExMaSmpsozpHTr1k1e8bMgkZGRBAUFFTn++/bt21SqVImkpCScnZ0ZMWIEZ8+eZc+ePUWK6f7777+xtrZm8eLFcmc2ICCAixcvEhsby6RJkzh+/Dg7d+6Uj7l+/To2NjacP39e/gVi/fr1fP755wBkZWVRuXJlBg4cyPz58wusNy4ujsaNG3P//n2USiWffvopFSpUKPBXgxfdv3+fihUr8v333zNgwACt9Be/j5iYGLy8vMjMzNR4X2Ho0KHySqoACxYsYOHChVy6dKnI8fBFvbf69OmDoaEhy5Ytk489fPgwHh4eZGdnY2BgQN26dfn8888JCQkB4Ouvv2bPnj3yQ+OLcnNzMTc3Z/369XTs2JFdu3bRvn170tLSqFKlCvDsl5127dqxZcuWQl/anj17Nhs3buTkyZMFpoeGhjJlyhSt/TZBP4jwG0F4CRF+IwjCu+StLT7l6+urtTk4OBAZGUl4eDhdu3bl3Llz/6rxBZk1axarVq0iOTlZKy0lJYXmzZtr7GvevDkXL14kNzdX3tewYcMi11e7dm2NKQ+tra01wk6KKzU1FX9/f2xtbTE1NZVDf9LT04FnnczExEQcHBwYMWKExgNKQcqVK0eXLl3kzvT9+/fZtGmTPPd6fHw8+/fvR6lUylutWrXktly+fJknT57QuHFjuUwzMzMcHBw06klISMDX15dq1aphYmIihyjlt/uLL74gKioKV1dXxo4dS2xsbKFtTklJIScnh08++aSol61AAwcOZNeuXdy4cQMAtVotv/j6Ol52b8XHxxMZGalxHb29vcnLy+PKlSvAs4fKdevWASBJEhs2bJBH6QFu3brFkCFDsLe3x8zMDDMzMx48eCBfw5SUFKpWrSp36AGaNWum1ZaffvqJFi1aYGVlhVKpJCQkRC6jIBMmTCArK0verl279lrXRxAEQRCE98Nrx9T/8ccfDBw4EBcXF54+fUpiYiKrVq2iatWqb7J9ALi7u+Pt7c3XX3+tlSZJklaHrqAfH4yNjYtcX9myZTU+KxQKOVTmdfj4+HD37l0iIiI4fvw4x48fB/7fC7v169fnypUrTJs2jYcPH9KtWzd5BL0w/fv35/Dhw1y8eFF+j6F79+7As5AOHx8fEhMTNbb82O386/Oy65adnU2bNm1QKpWsXbuWuLg4+ZeO/Ha3a9eOq1evEhQUxB9//MEnn3zCV199VWB7DQ0Ni3XNClOvXj3q1q3L6tWr+f3330lKStIICSqul91beXl5DB48WOManjp1iosXL1KjRg0A/P39uXDhAr///juxsbFcu3YNPz8/uYzAwEDi4+OZP38+sbGxJCYmYmFhIV/Dgu7VF7+XY8eO4efnR7t27di+fTsJCQlMnDjxpS986+vrY2pqqrEJgiAIglB6FXv2m6ysLDkW2dXVlb1792rNwvI2hIWF4erqir29vcZ+JycnDh8+rLEvNjYWe3v7ly4wpKenB6Axmv823L17l5SUFJYtWyZfpxfbC2Bqakr37t3p3r07n3/+OW3btuWvv/6ifPnyBZbr5eWFra0tkZGR7N+/n27dumFiYgI8e0jYtGkTKpWKMmW0v+IaNWpQtmxZTpw4gY2NDfDs552LFy/i4eEBwLlz57hz5w5hYWFynoJCPSpWrEhgYCCBgYG0bNmS4OBg5syZo5WvZs2aGBoasnfv3gLDb170su9nwIABzJs3jxs3btCqVSu5fa+rsHurfv36nD17Fjs7u0KPrVKlCu7u7qxbt46HDx/SqlUrjfcEDh06xOLFi2nfvj0A165d03hh2cnJifT0dP744w8qV64MwNGjRzXqOHLkCNWqVWPixInyvqtXr77+CQuCIAiCUOoUq1P/3XffMWvWLKysrNiwYQO+vr5vq11a6tSpQ8+ePeW4/XxjxoyhUaNGTJs2je7du3P06FG+//57Fi9e/NLyKlWqhKGhIdHR0VSpUgUDAwPMzMxeu325ublac97r6elRq1YtLCwsWL58OdbW1qSnpzN+/HiNfPPmzcPa2hpXV1d0dHT48ccfsbKyeunc9wqFgr59+zJ37lwyMzOZPXu2nDZs2DAiIiLo0aMHwcHBVKhQgUuXLhEVFUVERAQmJiYEBAQQHBxM+fLlqVSpEpMnT0ZHR0ceJa5atSp6enosWrSIIUOGcObMGaZNm6bRhkmTJtGgQQNq165NTk4O27dvx9HRscD2GhgYMG7cOMaOHYuenh7Nmzfn9u3bnD17lv79+2vlr1atGgqFgu3bt9O+fXsMDQ1RKpXAs5CXr776ioiICFavXl3oNSqqwu6tcePG0bRpU4YNG8bAgQMxNjYmJSWF3bt3a+Tt2bMnoaGhPH78WOvlVTs7O9asWUPDhg25d+8ewcHBGr9atGrVCgcHB/r06UN4eDj37t3T6Lznl5Genk5UVBSNGjVix44dGu+HFMeZKd5i1F4QBEEQSiOpGBQKhWRkZCR9+umnUufOnQvd3oSAgADJ19dXY19aWpqkr68vvdjsn376SXJycpLKli0rVa1aVZo9e7ZGerVq1aR58+Zp1RERESHZ2NhIOjo6koeHR6H1jhw5Uk4viFqtlgCtrVq1apIkSdLu3bslR0dHSV9fX3JxcZFiYmIkQNqyZYskSZK0fPlyydXVVTI2NpZMTU2lTz75RPr9999fdYmka9euSTo6OpKDg4NW2oULF6TOnTtL5cqVkwwNDaVatWpJQUFBUl5eniRJknTv3j3J399fMjIykqysrKS5c+dKjRs3lsaPHy+XsX79ekmlUkn6+vpSs2bNpG3btkmAlJCQIEmSJE2bNk1ydHSUDA0NpfLly0u+vr7S5cuXC21vbm6uNH36dKlatWrydzVz5kxJkiTpypUrGmVLkiRNnTpVsrKykhQKhRQQEKBRVu/evaXy5ctLjx490tifX87+/fsLbUdx7q0TJ05IrVu3lpRKpWRsbCy5uLhIM2bM0MiTmZkp6evrS0ZGRtL9+/c10n7//XepYcOGkr6+vlSzZk3pxx9/1Lofz58/L7Vo0ULS09OT7O3tpejoaI37Q5IkKTg4WLKwsJCUSqXUvXt3ad68eZKZmVmh5/iirKwsCZCysrKKfIwgCIIgCCWrOP9+F2v2m6K+kPiyucqFd1N2djYfffQR4eHhBY6cv2tat26No6MjCxcu1NgfExND586duXz58ge1qNSrFOfteUEQBEEQ3g3F+fe7WOE3/2auduHdkpCQwLlz52jcuDFZWVlMnToV4D8NqXodf/31F7t27WLfvn18//33WunR0dF8/fXXokMvCIIgCMIHpdgvygqlx5w5czh//jx6eno0aNCAQ4cOvXTxqHdB/fr1yczMZNasWVpTcMKzl14FQRAEQRA+NMUKvxEE4f0kwm8EQRAE4f3z1hafEt5vaWlpKBQKeZaemJgYFApFkVfCFZ4R100QBEEQhHfNex9+c+vWLUJCQvjtt9+4efMm5ubm1K1bl9DQ0AJX5nwTQkNDmTJlykvzXLlyBZVK9Ubqu3nzJlWqVEGtVtOrVy+t9MGDB3P06FFOnz79Rup7GzZt2sSiRYtISEggNzcXW1tbPv/8c4YPH0758uWJjIykb9++AOjo6GBqaoq9vT0dOnRg5MiRGtONBgYGsmrVKgDKlCmDjY0NXbp0YcqUKcVaZAzg4cOHVK5cGYVCwY0bN4q0SJabmxsZGRn/agrUkuI8eSc6+kYl3QxBKHFpYR1KugmCIAhv1Hs/Uv/ZZ59x6tQpVq1axYULF9i2bRuenp789ddfb63Or776ioyMDHmrUqUKU6dO1dj3bxdEep6lpSUdOnQocFahhw8fEhUV9U7PWDNx4kS6d+9Oo0aN+O233zhz5gzh4eGcOnWKNWvWyPlMTU3JyMjg+vXrxMbGMmjQIFavXo2rqyt//PGHRplt27YlIyODy5cvM336dBYvXlzoarYvs2nTJpydnXFycmLz5s2vzP/kyRP09PSwsrIq0kxQgiAIgiAI/4X3ulP/999/c/jwYWbNmoWXlxfVqlWjcePGTJgwgQ4d/t8ozNy5c6lTpw7GxsbY2NgwdOhQHjx4IKdHRkZSrlw5du7ciaOjI0qlUu40FkSpVGJlZSVvurq6mJiYyJ/37NlDkyZN5H3+/v7cunVLPj4/fGPv3r00bNgQIyMj3NzcOH/+fKHn2r9/f/bv309aWprG/p9++olHjx7Rq1cvoqOjadGiBeXKlcPCwoKOHTuSmpparGsaGxuLu7s7hoaG2NjYMGLECLKzswGYOnUqderU0TqmQYMGTJo0qcDyTpw4wcyZMwkPD2f27Nm4ubmhUqlo3bo1mzZtIiAgQM6rUCiwsrLC2toaR0dH+vfvT2xsLA8ePGDs2LEa5err62NlZYWNjQ3+/v707NmTrVu3FutcAVasWEGvXr3o1asXK1as0EpXKBQsXboUX19fjI2NmT59ulb4jaenJwqFQmvL/67S09Px9fVFqVRiampKt27duHnzplxHaGgorq6urFmzBpVKhZmZGX5+fty/f1/O8ya+W0EQBEEQSq/3ulOvVCpRKpVs3bqVnJycQvPp6OiwcOFCzpw5w6pVq9i3b59WJ/Gff/5hzpw5rFmzhoMHD5Kenv5aI78Ajx8/Ztq0aZw6dYqtW7dy5coVAgMDtfJNnDiR8PBwTp48SZkyZejXr1+hZbZv3x4rKyutaUVXrlxJp06dsLCwIDs7m9GjRxMXF8fevXvR0dGhc+fO5OXlFandSUlJeHt706VLF06fPs3GjRs5fPgww4cPB6Bfv34kJycTFxcnH3P69GkSEhIKPD+AdevWoVQqGTp0aIHpL1s1F56t/NuzZ0+2bdtGbm5uofkMDQ158uTJy0/wBampqRw9epRu3brRrVs3YmNjuXz5sla+yZMn4+vrS1JSUoHf0ebNmzV+penSpQsODg5YWloiSRKdOnXir7/+4sCBA+zevZvU1FS6d++u1ZatW7eyfft2tm/fzoEDBzRm8inud5uTk8O9e/c0NkEQBEEQSq/3Oqa+TJkyREZGMnDgQJYuXUr9+vXx8PDAz88PFxcXOV9QUJD8d/Xq1Zk2bRpffPEFixcvlvc/efKEpUuXUqNGDQCGDx8uz91eXM93/GxtbVm4cCGNGzfmwYMHKJVKOW3GjBl4eHgAMH78eDp06MCjR48wMDDQKlNXV5c+ffoQGRnJ5MmTUSgUXLlyhQMHDhAdHQ08C0V63ooVK6hUqRLJyck4Ozu/st2zZ8/G399fvl41a9Zk4cKFeHh4sGTJEqpUqYK3tzdqtZpGjRoBzxYa8/DwwNbWtsAyL168iK2tLWXLln1l/YWpVasW9+/f5+7du1SqVEkr/cSJE6xfv55PPvmkWOWuXLmSdu3ayXPat23blpUrVzJ9+nSNfP7+/hrf6ZUrVzTSy5cvL/89b9489u3bx/HjxzE0NGT37t2cPn2aK1euyCFZa9asoXbt2sTFxcnXMS8vj8jISExMTADo3bs3e/fuZcaMGUDxv9tvv/32le99CIIgCIJQerzXI/XwrLPzxx9/sG3bNry9vYmJiaF+/foaI9r79++ndevWfPTRR5iYmNCnTx/u3r0rh5UAGBkZyR16AGtra42QmeJISEjA19eXatWqYWJigqenJ/AsDON5zz94WFtbA7y0zv79+3P16lX27dsHPOuUVqlShVatWgHPRnv9/f2xtbXF1NSU6tWrF1hvYeLj44mMjJR/AVEqlXh7e5OXlyd3ZAcOHMiGDRt49OgRT548Yd26dS/9hUGSpH8de54/6+rz5Wzfvh2lUomBgQHNmjXD3d2dRYsWFbnM3NxcVq1apfHica9evVi1apXWLwINGzYsUpm//fYb48ePZ+PGjdjb2wOQkpKCjY2NxjsWTk5OlCtXjpSUFHmfSqWSO/Sgff8V97udMGECWVlZ8nbt2rUinYMgCIIgCO+n93qkPp+BgQGtW7emdevWTJo0iQEDBjB58mQCAwO5evUq7du3Z8iQIUybNo3y5ctz+PBh+vfvrxGu8eJIskKh4HWm8M/OzqZNmza0adOGtWvXUrFiRdLT0/H29ubx48caeZ+vM7/D+rJQmZo1a9KyZUvUajVeXl6sWrWKvn37oqPz7NnMx8cHGxsbIiIiqFy5Mnl5eTg7O2vVW5i8vDwGDx7MiBEjtNKqVq0q16Gvr8+WLVvQ19cnJydHaxT5efb29hw+fJgnT5689mh9SkoKpqamWFhYyPu8vLxYsmQJZcuWpXLlysUue+fOndy4cUMrDCY3N5ddu3bRrl07eV9RZtRJTk7Gz8+PsLAw2rRpI+8v7KHmxf0F3X/P3wvF/W719fXR19d/ZbsFQRAEQSgdSkWn/kVOTk7yS5MnT57k6dOnhIeHy53fH3744a3Vfe7cOe7cuUNYWJg8Onvy5Mk3Vn7//v354osv8PX15fr16/I0kHfv3iUlJYVly5bRsmVLAA4fPlyssuvXr8/Zs2exs7MrNE+ZMmUICAhArVajr6+Pn58fRkaFT5Ho7+/PwoULWbx4MSNHjtRK//vvv18aV3/r1i3Wr19Pp06d5O8PnnW0X9bOV1mxYgV+fn5MnDhRY39YWBgrVqzQ6NS/yt27d/Hx8aFLly6MGjVKI83JyYn09HSuXbsm3w/JyclkZWXh6OhY5PL/7XcrCIIgCELp9l536u/evUvXrl3p168fLi4umJiYcPLkSb777jt8fX0BqFGjBk+fPmXRokX4+Phw5MgRli5d+tbaVLVqVfT09Fi0aBFDhgzhzJkzTJs27Y2V37VrV0aMGMHgwYP55JNP5Lnwzc3NsbCwYPny5VhbW5Oens748eOLVfa4ceNo2rQpw4YNY+DAgRgbG5OSksLu3bs1QlsGDBggd0iPHDny0jKbNGnC2LFjGTNmDDdu3KBz585UrlyZS5cusXTpUlq0aCF39iVJ4s8//0SSJP7++2+OHj3KzJkzMTMz03hp9N+6ffs2v/zyC9u2bdOKRw8ICKBDhw7cvn2bihUrFqm8Ll26YGhoSGhoKH/++ae8v2LFirRq1QoXFxd69uzJ/Pnzefr0KUOHDsXDw6PIYT1v4rvNd2aKt1hRVhAEQRBKofc6pl6pVNKkSRPmzZuHu7s7zs7OhISEMHDgQL7//nsAXF1dmTt3LrNmzcLZ2Zl169bx7bffvrU2VaxYkcjISH788UecnJwICwtjzpw5b6x8IyMj/Pz8yMzM1Ihl19HRISoqivj4eJydnRk1ahSzZ88uVtkuLi4cOHCAixcv0rJlS+rVq0dISIgc75+vZs2auLm54eDgQJMmTV5Z7qxZs1i/fj3Hjx/H29ub2rVrM3r0aFxcXDSmtLx37x7W1tZ89NFHNGvWjGXLlhEQEEBCQoJWG15FpVIRGhpaYNrq1asxNjYu8MVaLy8vTExMNObPf5WDBw9y9uxZVCoV1tbW8nbt2jUUCgVbt27F3Nwcd3d3WrVqha2tLRs3bixy+W/iuxUEQRAEoXRTSK8TOC580CRJolatWgwePJjRo0eXdHO0PHz4kPLly/Prr7/i5eVV0s15J9y7dw8zMzOysrLESL0gCIIgvCeK8+/3ex1+I/z3bt26xZo1a7hx44Ycz/+uOXDgAB9//LHo0AuCIAiC8MEQnXqhWCwtLalQoQLLly+X53d/17Rt25a2bduWdDMEQRAEQRD+M6JTLxSLiNYSBEEQBEF497zXL8qWtJiYGBQKBX///XdJN4XQ0FBcXV1LuhkAeHp6aqziW1q8qfMKDAykU6dO/0ldgiAIgiB8GErNSP3SpUsJDg4mMzOTMmWendaDBw8wNzenadOmHDp0SM576NAh3N3dOX/+vLzy57tu06ZNLFq0iISEBHJzc7G1teXzzz9n+PDhlC9fvqSbV2yPHz9m/vz5rFu3josXL2JkZISDgwMDBgygV69elC1blsDAQFatWgU8mx+/fPnyuLi40KNHDwIDAzXmrVepVFy9ehUAQ0NDbG1t+fLLLxk8eHCR2/R8fc+7ePHiv5oT/0ULFiwosV88nCfvREe/8HUFBOF9lhbWoaSbIAiCUGJKzUi9l5cXDx480Fjo6dChQ1hZWREXF8c///wj74+JiaFy5crvTYd+4sSJdO/enUaNGvHbb79x5swZwsPDOXXqVLGmXnxXPH78GG9vb8LCwhg0aBCxsbGcOHGCYcOGsWjRIs6ePSvnbdu2LRkZGaSlpfHbb7/h5eXFyJEj6dixI0+fPtUod+rUqWRkZHD69Gk6derEkCFDijV15PP1Pb9Vr179jZx3bm4ueXl5mJmZvXTBLUEQBEEQhOIqNZ16BwcHKleuTExMjLwvJiYGX19fatSoQWxsrMb+/JlRHj9+zNixY/noo48wNjamSZMmGmVcvXoVHx8fzM3NMTY2pnbt2vz666+FtiM2NhZ3d3cMDQ2xsbFhxIgRZGdnA886nXXq1NE6pkGDBkyaNKnA8k6cOMHMmTMJDw9n9uzZuLm5oVKpaN26NZs2bdKY5x1gzZo1qFQqzMzM8PPz4/79+3JadHQ0LVq0oFy5clhYWNCxY0dSU1Pl9LS0NBQKBVFRUbi5uWFgYEDt2rU1rgc8WxG1ffv2KJVKLC0t6d27N3fu3Cn0mrxo/vz5HDx4kL179zJs2DBcXV2xtbXF39+f48ePU7NmTTmvvr4+VlZWfPTRR9SvX5+vv/6an3/+md9++43IyEiNck1MTLCyssLOzo7p06dTs2ZNeWXhosqv7/lNV1e3wLyZmZn06dMHc3NzjIyMaNeuHRcvXpTTIyMjKVeuHNu3b8fJyQl9fX2uXr2qFX6TnZ1Nnz59UCqVWFtbEx4erlXX2rVradiwoXyO/v7+3Lp1q1jnJgiCIAhC6VVqOvXwLA55//798uf9+/fj6emJh4eHvP/x48ccPXpU7tT37duXI0eOEBUVxenTp+natStt27aVO2fDhg0jJyeHgwcPkpSUxKxZs1AqlQXWn5SUhLe3N126dOH06dNs3LiRw4cPM3z4cAD69etHcnIycXFx8jGnT58mISGBwMDAAstct24dSqWSoUOHFpj+/IhvamoqW7duZfv27Wzfvp0DBw5orMSanZ3N6NGjiYuLY+/evejo6NC5c2fy8vI0ygwODmbMmDEkJCTg5ubGp59+yt27dwHIyMjAw8MDV1dXTp48SXR0NDdv3qRbt24Ftq+wc2rVqhX16tXTSitbtizGxsYvPf7jjz+mbt26bN68+aX5DAwMePLkSZHbVVyBgYGcPHmSbdu2cfToUSRJon379hp1/vPPP3z77bf873//4+zZs1SqVEmrnODgYPbv38+WLVvYtWsXMTExxMfHa+R5/Pgx06ZN49SpU2zdupUrV64Ues8A5OTkcO/ePY1NEARBEITSq9TE1MOzTv2oUaN4+vQpDx8+JCEhAXd3d3Jzc1m4cCEAx44d4+HDh3h5eZGamsqGDRu4fv06lStXBuCrr74iOjoatVrNzJkzSU9P57PPPpNH2G1tbQutf/bs2fj7+8svONasWZOFCxfi4eHBkiVLqFKlCt7e3qjVaho1agSAWq3Gw8Oj0HIvXryIra0tZcuWfeX55+XlERkZiYmJCQC9e/dm7969zJgxA4DPPvtMI/+KFSuoVKkSycnJODs7y/uHDx8u512yZAnR0dGsWLGCsWPHsmTJEurXr8/MmTPl/CtXrsTGxoYLFy4UKaTp4sWLeHp6vjLfy9SqVYvTp08XmPb06VPWrl1LUlISX3zxRbHK3b59u8ZDW7t27fjxxx+18l28eJFt27Zx5MgR3NzcgGcPKzY2NmzdupWuXbsC8OTJExYvXkzdunULrO/BgwesWLGC1atX07p1awBWrVpFlSpVNPI9v3qwra0tCxcupHHjxjx48KDAh8xvv/2WKVOmFOvcBUEQBEF4f5WqkXovLy+ys7OJi4vj0KFD2NvbU6lSJTw8PIiLiyM7O5uYmBiqVq2Kra0tv//+O5IkYW9vj1KplLcDBw7IYSkjRoxg+vTpNG/enMmTJxfakQSIj48nMjJSoyxvb2/y8vK4cuUKAAMHDmTDhg08evSIJ0+esG7dOo0O24skSUKhUBTp/FUqldyhB7C2ttYI0UhNTcXf3x9bW1tMTU3lWPH09HSNcpo1ayb/XaZMGRo2bEhKSop8jvv379c4x1q1asnlF0Vxzqk4ZYwbNw6lUomhoSHDhg0jODi4WC/KwrN7KDExUd7yHwZflJKSQpkyZWjSpIm8z8LCAgcHB/laAejp6eHi4lJofampqTx+/FjjmpcvXx4HBweNfAkJCfj6+lKtWjVMTEzkh6IXv7t8EyZMICsrS96uXbv2ynMXBEEQBOH9VapG6u3s7KhSpQr79+8nMzMTDw8PAKysrKhevTpHjhxh//79fPzxx8CzkW1dXV3i4+O14qbzRz8HDBiAt7c3O3bsYNeuXXz77beEh4fz5ZdfatWfl5fH4MGDGTFihFZa1apVAfDx8UFfX58tW7agr69PTk6O1gj68+zt7Tl8+DBPnjx55Wj9i+kKhUIjtMbHxwcbGxsiIiKoXLkyeXl5ODs78/jx45eWm19W/jn6+Pgwa9YsrTzW1tavLAeendPzHd/XkZKSovUCa3BwMIGBgRgZGWFtbf1aDw7GxsZFmummsNlrXnzYMDQ0fGk7ijILTnZ2Nm3atKFNmzasXbuWihUrkp6ejre3d6Hfnb6+Pvr6+q8sWxAEQRCE0qFUjdTDs5HWmJgYYmJiNEI8PDw82LlzJ8eOHZPj6evVq0dubi63bt3Czs5OY7OyspKPtbGxYciQIWzevJkxY8YQERFRYN3169fn7NmzWmXZ2dmhp6cHPBv5DggIQK1Wo1ar8fPzw8io8CkG/f39efDgAYsXLy4wvahz5N+9e5eUlBS++eYbPvnkExwdHcnMzCww77Fjx+S/nz59Snx8vDwan3+OKpVK6xxfFQv//Dnt2bOHhIQErbSnT5/KLxYXZt++fSQlJWk9DFWoUAE7OzsqV678r38JeBUnJyeePn3K8ePH5X13797lwoULODo6FrkcOzs7ypYtq3HNMzMzuXDhgvz53Llz3Llzh7CwMFq2bEmtWrXES7KCIAiCIGgoVSP18KxTP2zYMJ48eSKP1MOzTv0XX3zBo0eP5E69vb09PXv2pE+fPoSHh1OvXj3u3LnDvn37qFOnDu3btycoKIh27dphb29PZmYm+/btK7TTNm7cOJo2bcqwYcMYOHAgxsbGpKSksHv3bhYtWiTnGzBggFzGkSNHXno+TZo0YezYsYwZM4YbN27QuXNnKleuzKVLl1i6dCktWrRg5MiRr7wu5ubmWFhYsHz5cqytrUlPT2f8+PEF5v2///s/atasiaOjI/PmzSMzM1MOERo2bBgRERH06NGD4OBgKlSowKVLl4iKiiIiIqLQmWKeFxQUxI4dO/jkk0+YNm0aLVq0wMTEhJMnTzJr1ixWrFghL6SVk5PDn3/+SW5uLjdv3iQ6Oppvv/2Wjh070qdPn1fW9bbUrFkTX19fBg4cyLJlyzAxMWH8+PF89NFH+Pr6FrkcpVJJ//79CQ4OxsLCAktLSyZOnKgxB3/VqlXR09Nj0aJFDBkyhDNnzjBt2rTXaveZKd6Ympq+1rGCIAiCILy7SuVI/cOHD7Gzs8PS0lLe7+Hhwf3796lRowY2NjbyfrVaTZ8+fRgzZgwODg58+umnHD9+XM6Tm5vLsGHDcHR0pG3btjg4OBQ6au7i4sKBAwe4ePEiLVu2pF69eoSEhGiFpdSsWRM3NzccHBw0YrILM2vWLNavX8/x48fx9vamdu3ajB49GhcXF60pLQujo6NDVFQU8fHxODs7M2rUKGbPnl1g3rCwMGbNmkXdunU5dOgQP//8MxUqVACgcuXKHDlyhNzcXLy9vXF2dmbkyJGYmZlpdERfRl9fn927dzN27FiWLVtG06ZNadSoEQsXLmTEiBEaL+1GR0djbW2NSqWibdu27N+/n4ULF/Lzzz8X6QEiX/50nS9Oz/lvqNVqGjRoQMeOHWnWrBmSJPHrr78W6aXm582ePRt3d3c+/fRTWrVqRYsWLWjQoIGcXrFiRSIjI/nxxx9xcnIiLCyMOXPmvLHzEARBEATh/aeQSmppyw+YJEnUqlWLwYMHM3r06JJujiwtLY3q1auTkJAgj5SXFjExMXTu3JnLly9jbm5e0s35z927dw8zMzOysrLESL0gCIIgvCeK8+93qQu/edfdunWLNWvWcOPGDfr27VvSzflgREdH8/XXX3+QHXpBEARBEEo/0an/j1laWlKhQgWWL18uOpj/oecX4RIEQRAEQShtSl1M/btOkiRu376Nv79/STdFi0qlQpKk1w69iYyM1Fjh9r8SExODQqEo8kxAgiAIgiAIpY3o1L+HAgMD6dSpU0k3453h5uZGRkYGZmZmwNt5uMh/0fZlW2ho6ButUxAEQRAEoahE+I3wTinKIlsv0tPT01hX4G2wsbEhIyND/jxnzhyio6PZs2ePvC9/wbJ3mfPknejoF74ugiD8F9LCOpR0EwRBEEodMVJfCiUnJ9O+fXuUSiWWlpb07t2bO3fuyOnR0dG0aNGCcuXKYWFhQceOHUlNTZXT80elN2/ejJeXF0ZGRtStW5ejR49q1BMZGUnVqlUxMjKic+fO3L17V6stv/zyCw0aNMDAwABbW1umTJnC06dP5XSFQsHSpUvx9fXF2NiY6dOnF3hOOTk5jB07FhsbG/T19alZsyYrVqwANMNvYmJi6Nu3L1lZWRoj6FOnTqVOnTpa5TZo0IBJkya98prq6upiZWUlb0qlkjJlymjs+/HHH3F0dMTAwIBatWppTH3ar18/XFxcyMnJAZ49vDRo0ICePXvKecaNG4e9vT1GRkbY2toSEhLCkydP5PRTp07h5eWFiYkJpqamNGjQgJMnT76y7YIgCIIglH6iU1/KZGRk4OHhgaurKydPniQ6OpqbN2/SrVs3OU92djajR48mLi6OvXv3oqOjQ+fOncnLy9Moa+LEiXz11VckJiZib29Pjx495A758ePH6devH0OHDiUxMREvLy+tDvnOnTvp1asXI0aMIDk5mWXLlhEZGcmMGTM08k2ePBlfX1+SkpLkRa5e1KdPH6Kioli4cCEpKSksXbq0wJFxNzc35s+fj6mpKRkZGWRkZPDVV1/Rr18/kpOTiYuLk/OePn2ahIQEAgMDi3WNCxIREcHEiROZMWMGKSkpzJw5k5CQEFatWgXAwoULyc7Olhf8CgkJ4c6dOxodfxMTEyIjI0lOTmbBggVEREQwb948Ob1nz55UqVKFuLg44uPjGT9+fLF/1RAEQRAEoXQS4TelzJIlS6hfvz4zZ86U961cuRIbGxsuXLiAvb09n332mcYxK1asoFKlSiQnJ2ss/PTVV1/RocOzn8mnTJlC7dq1uXTpErVq1WLBggV4e3vLnVR7e3tiY2OJjo6Wj58xYwbjx4+XF8iytbVl2rRpjB07lsmTJ8v5/P39C+3MA1y4cIEffviB3bt306pVK7msgujp6WFmZoZCodAIyVEqlXh7e6NWq2nUqBHwbPEoDw+PQssqjmnTphEeHk6XLl0AqF69uvwgExAQgFKpZO3atXh4eGBiYkJ4eDh79+6V3wMA+Oabb+S/VSoVY8aMYePGjYwdOxaA9PR0goODqVWrFvBsEbPC5OTkyL8KwLN5bgVBEARBKL3ESH0pEx8fz/79+1EqlfKW3wnMD7FJTU3F398fW1tbTE1NqV69OvCs0/g8FxcX+e/8VXFv3boFQEpKCs2aNdPI/+Ln+Ph4pk6dqtGWgQMHkpGRwT///CPna9iw4UvPKTExEV1dXTw8PIp8HQoycOBANmzYwKNHj3jy5Anr1q176cNEUd2+fZtr167Rv39/jXOdPn26RlhTs2bN+Oqrr5g2bRpjxozB3d1do5yffvqJFi1ayOE9ISEhGt/J6NGjGTBgAK1atSIsLEyj7Bd9++23mJmZydvzqygLgiAIglD6iJH6UiYvLw8fHx9mzZqllZbfMffx8cHGxoaIiAgqV65MXl4ezs7OPH78WCP/86EdCoVCLh+eTc1ZlLZMmTJFHr1+noGBgfy3sbHxS8sxNDR8ZV1F4ePjg76+Plu2bEFfX5+cnBytXy1eR/41iYiIoEmTJhppurq6GvmOHDmCrq4uFy9e1Mh37Ngx/Pz8mDJlCt7e3piZmREVFUV4eLicJzQ0FH9/f3bs2MFvv/3G5MmTiYqKonPnzlptmjBhgsZqxffu3RMde0EQBEEoxUSnvpSpX78+mzZtQqVSUaaM9td79+5dUlJSWLZsGS1btgTg8OHDxa7HycmJY8eOaex78XP9+vU5f/48dnZ2xS7/eXXq1CEvL48DBw7I4Tcvo6enR25urtb+MmXKEBAQgFqtRl9fHz8/P4yM/v1MMJaWlnz00UdcvnxZ48XXF82ePZuUlBQOHDgghwLlryp85MgRqlWrxsSJE+X8V69e1SrD3t4ee3t7Ro0aRY8ePVCr1QV26vX19dHX1//X5yYIgiAIwvtBdOrfU1lZWSQmJmrsK1++PMOGDSMiIoIePXoQHBxMhQoVuHTpElFRUURERGBubo6FhQXLly/H2tqa9PR0OS6+OEaMGIGbmxvfffcdnTp1YteuXRrx9ACTJk2iY8eO2NjY0LVrV3R0dDh9+jRJSUmFznJTEJVKRUBAAP369WPhwoXUrVuXq1evcuvWLY0XgJ/P/+DBA/bu3UvdunUxMjKSO+8DBgzA0dEReNaRflNCQ0MZMWIEpqamtGvXjpycHE6ePElmZiajR48mMTGRSZMm8dNPP9G8eXMWLFjAyJEj5Zh+Ozs70tPTiYqKolGjRuzYsYMtW7bI5T98+JDg4GA+//xzqlevzvXr14mLiyv2Lw1npnhjamr6xs5bEARBEIR3hCS8dwICAiRAawsICJAkSZIuXLggde7cWSpXrpxkaGgo1apVSwoKCpLy8vIkSZKk3bt3S46OjpK+vr7k4uIixcTESIC0ZcsWSZIk6cqVKxIgJSQkyHVmZmZKgLR//35534oVK6QqVapIhoaGko+PjzRnzhzJzMxMo63R0dGSm5ubZGhoKJmamkqNGzeWli9fLqc/X+/LPHz4UBo1apRkbW0t6enpSXZ2dtLKlSslSZKk/fv3S4CUmZkp5x8yZIhkYWEhAdLkyZM1ymrZsqXk5OSkVUd+OVeuXHlleyZPnizVrVtXY9+6deskV1dXSU9PTzI3N5fc3d2lzZs3Sw8fPpScnJykQYMGaeTv3Lmz5ObmJj19+lSSJEkKDg6WLCwsJKVSKXXv3l2aN2+efD1zcnIkPz8/ycbGRtLT05MqV64sDR8+XHr48OEr2ypJkpSVlSUBUlZWVpHyC4IgCIJQ8orz77dCkooQHC0IpYQkSdSqVYvBgwdrxJwD8nSbycnJpW6qyHv37mFmZkZWVpYYqRcEQRCE90Rx/v0W4TfCB+PWrVusWbOGGzduyLHsz4uOjmbmzJmlrkMvCIIgCELpJzr1wgfD0tKSChUqsHz5cszNzbXSo6KiSqBVgiAIgiAI/57o1AsfDBFpJgiCIAhCaSUWnxLeCZGRkZQrV66km/FOiImJQaFQ8Pfff5d0UwRBEARBeE+ITv0bEBgYSKdOnf6TuurUqcOAAQMKTNuwYQNly5bl5s2b/0lb3qTu3btz4cIF+XNoaCiurq5vpS6VSoVCodCaVz8oKAhPT8+3UqcgCIIgCMLbJMJv3jP9+/dn0qRJLFy4UGvhpJUrV9KxY0csLS1LqHWvz9DQ8I2tHFsUBgYGjBs3jgMHDvxndb4LnCfvREf/3y+4JQivIy2sQ0k3QRAEodQSI/X/gblz51KnTh2MjY2xsbFh6NChPHjwQE6/evUqPj4+mJubY2xsTO3atfn1118LLKt3797k5OTw448/auxPT09n37599O/fH4BffvmFBg0aYGBggK2tLVOmTOHp06dy/nPnztGiRQsMDAxwcnJiz549KBQKtm7dKucZN24c9vb2GBkZYWtrS0hICE+ePJHTT506hZeXFyYmJpiamtKgQQNOnjxZ6HX4+++/GTRoEJaWlhgYGODs7Mz27dsBzfCbyMhIpkyZwqlTp1AoFCgUCiIjI+nXrx8dO3bUKPPp06dYWVmxcuXKl3wD2gYPHsyxY8cKvc751Go1jo6OGBgYUKtWLRYvXiynNWvWTGvhrtu3b1O2bFn2798PwNq1a2nYsCEmJiZYWVnh7+/PrVu3NI759ddfsbe3x9DQEC8vL9LS0jTS7969S48ePahSpQpGRkbUqVOHDRs2FOt8BUEQBEEo3cRI/X9AR0eHhQsXolKpuHLlCkOHDmXs2LFyB3HYsGE8fvyYgwcPYmxsTHJyMkqlssCyLCws8PX1Ra1WExAQIO9Xq9VYWlrSrl07du7cSa9evVi4cCEtW7YkNTWVQYMGATB58mTy8vLo1KkTVatW5fjx49y/f58xY8Zo1WViYkJkZCSVK1cmKSmJgQMHYmJiwtixYwHo2bMn9erVY8mSJejq6pKYmFjodJB5eXm0a9eO+/fvs3btWmrUqEFycjK6urpaebt3786ZM2eIjo5mz549AJiZmWFvb4+7uzsZGRlYW1sDzzrEDx48KHBl2ZdRqVQMGTKECRMm0LZtW3R0tJ9vIyIimDx5Mt9//z316tUjISGBgQMHYmxsTEBAAD179mT27Nl8++23KBQKADZu3IilpSUeHh4APH78mGnTpuHg4MCtW7cYNWoUgYGB8sPEtWvX6NKlC0OGDOGLL77g5MmTWt/Fo0ePaNCgAePGjcPU1JQdO3bQu3dvbG1tadKkSYHnl5OTQ05Ojvz53r17xbo+giAIgiC8X8TiU29AYGAgf//9t8Yo98v8+OOPfPHFF9y5cwcAFxcXPvvsMyZPnlyk46Ojo2nfvj2XLl3C1tYWSZKwtbWlR48ezJw5E3d3d9q1a8eECRPkY9auXcvYsWP5448/iI6OxsfHh2vXrmFlZQXAnj17aN26NVu2bCn0/YDZs2ezceNGeTTe1NSURYsWaTxcFGbXrl20a9eOlJQU7O3ttdIjIyMJCgqSXw4NDQ1l69atJCYmauSrXbs2AQEB8oNF586dKVeuHGq1+pVtyKdSqQgKCqJnz57UqFGD//u//6N3794EBQWRmJhITEwMAFWrVmXWrFn06NFDPnb69On8+uuvxMbGcvv2bSpXrsy+ffto2bIlAG5ubrRo0YLvvvuuwLrj4uJo3Lgx9+/fR6lU8vXXX7N161bOnj0rPxiMHz+eWbNmkZmZWejLwx06dMDR0ZE5c+YUmB4aGsqUKVO09tsE/SDCb4QSI8JvBEEQiqc4i0+J8Jv/wP79+2ndujUfffQRJiYm9OnTh7t375KdnQ3AiBEjmD59Os2bN2fy5MmcPn36peW1adOGKlWqyB3Zffv2kZaWJi+oFB8fz9SpU1EqlfI2cOBAMjIy+Oeffzh//jw2NjZyhx6gcePGWvX89NNPtGjRAisrK5RKJSEhIaSnp8vpo0ePZsCAAbRq1YqwsDBSU1MLbXNiYiJVqlQpsENfHAMGDJDP+9atW+zYsYN+/fq9VlkVK1bkq6++YtKkSTx+/Fgj7fbt21y7do3+/ftrXMfp06fL51mxYkVat27NunXrALhy5QpHjx6lZ8+ecjkJCQn4+vpSrVo1TExM5Bdx869jSkoKTZs2lTv08Cys53m5ubnMmDEDFxcXLCwsUCqV7Nq1S+O7eNGECRPIysqSt2vXrr3WNRIEQRAE4f0gOvVv2dWrV2nfvj3Ozs5s2rSJ+Ph4/u///g9Ajk8fMGAAly9fpnfv3iQlJdGwYUMWLVpUaJk6OjoEBgayatUq8vLyUKvVuLu7U7NmTeBZqMuUKVNITEyUt6SkJC5evIiBgQGSJGl0Igty7Ngx/Pz8aNeuHdu3bychIYGJEydqdH5DQ0M5e/YsHTp0YN++fTg5ObFly5YCy3tTL8H26dOHy5cvc/ToUdauXYtKpZJHyV/H6NGjefjwoUasPDy7hvAsBOf563jmzBmNWXN69uzJTz/9xJMnT1i/fj21a9embt26AGRnZ9OmTRuUSiVr164lLi5Ovj7517EoP5SFh4czb948xo4dy759+0hMTMTb21vrQeR5+vr6mJqaamyCIAiCIJReolP/lp08eZKnT58SHh5O06ZNsbe3548//tDKZ2Njw5AhQ9i8eTNjxowhIiLipeX27duX69evs3nzZjZv3iy/IAtQv359zp8/j52dndamo6NDrVq1SE9P15j6Mi4uTqP8I0eOUK1aNSZOnEjDhg2pWbMmV69e1WqHvb09o0aNYteuXXTp0qXQMBgXFxeuX7+uMW3ly+jp6ZGbm6u138LCgk6dOqFWq1Gr1fKvE68r/xeIGTNmaMSdW1pa8tFHH3H58mWta1i9enU5X6dOnXj06BHR0dGsX7+eXr16yWnnzp3jzp07hIWF0bJlS2rVqqX1kqyTk5PW1Jovfj506BC+vr706tWLunXrYmtry8WLF//VeQuCIAiCULqIF2XfkKysLK347/Lly1OjRg2ePn3KokWL8PHx4ciRIyxdulQjX1BQEO3atcPe3p7MzEz27duHo6PjS+urXr06H3/8MYMGDaJs2bJ8/vnnctqkSZPo2LEjNjY2dO3aFR0dHU6fPk1SUhLTp0+ndevW1KhRg4CAAL777jvu37/PxIkTAeQRfDs7O9LT04mKiqJRo0bs2LFDYxT+4cOHBAcH8/nnn1O9enWuX79OXFwcn332WYHt9fDwwN3dnc8++4y5c+diZ2fHuXPnUCgUtG3bVit//kvF+WE7JiYm6OvrA89+2ejYsSO5ublFiud/lUGDBjFv3jw2bNig8eJpaGgoI0aMwNTUlHbt2pGTk8PJkyfJzMxk9OjRABgbG+Pr60tISAgpKSn4+/vLx1etWhU9PT0WLVrEkCFDOHPmDNOmTdOoe8iQIYSHhzN69GgGDx5MfHw8kZGRGnns7OzYtGkTsbGxmJubM3fuXP78889X3iMFOTPFW4zaC4IgCEJpJAn/WkBAgARobQEBAZIkSdLcuXMla2trydDQUPL29pZWr14tAVJmZqYkSZI0fPhwqUaNGpK+vr5UsWJFqXfv3tKdO3deWe/69eslQBo0aJBWWnR0tOTm5iYZGhpKpqamUuPGjaXly5fL6SkpKVLz5s0lPT09qVatWtIvv/wiAVJ0dLScJzg4WLKwsJCUSqXUvXt3ad68eZKZmZkkSZKUk5Mj+fn5STY2NpKenp5UuXJlafjw4dLDhw8Lbe/du3elvn37ShYWFpKBgYHk7Owsbd++XZIkSVKr1XLZkiRJjx49kj777DOpXLlyEiCp1Wo5LS8vT6pWrZrUvn17rTrUarX0qtu6WrVq0rx58zT25V9LDw8Pjf3r1q2TXF1dJT09Pcnc3Fxyd3eXNm/erJFnx44dEiC5u7tr1bV+/XpJpVJJ+vr6UrNmzaRt27ZJgJSQkCDn+eWXXyQ7OztJX19fatmypbRy5UqN++Pu3buSr6+vpFQqpUqVKknffPON1KdPH8nX1/el5/m8rKwsCZCysrKKfIwgCIIgCCWrOP9+i9lvBOBZuE2LFi24dOkSNWrUKOnmvNQ///xD5cqVWblyJV26dNFICw0NJSYmRp7BRnimOG/PC4IgCILwbijOv98i/OYDtWXLFpRKJTVr1uTSpUuMHDmS5s2bv9Md+ry8PP7880/Cw8MxMzPj008/1cqzc+dOFixYUAKtEwRBEARBKDmiU/+Bun//PmPHjuXatWtUqFCBVq1aER4eXtLNeqn09HSqV69OlSpViIyMpEwZ7dv36NGjJdAyQRAEQRCEkiXCbwThAyDCbwRBEATh/SMWnxIA8PT0JCgoqKSbUSwqlYr58+eXdDNeKiYmBoVCIa9+KwiCIAiCUNJE+E0JyF84Kl/58uVp1KgR3333HS4uLiXYspIXFxeHsbGx/FmhULBlyxY6der0Vup7+PAhlStXRqFQcOPGjSItkuXm5kZGRgZmZmZvpU1vk/PknejoG5V0M4QPRFpYh5JugiAIwgdDjNSXkLZt25KRkUFGRgZ79+6lTJkydOzYsaSbVeIqVqyIkdF/1+nctGkTzs7OODk5sXnz5lfmf/LkCXp6elhZWb1yVV5BEARBEIT/iujUlxB9fX2srKywsrLC1dWVcePGce3aNW7fvg0UHOKRmJiIQqEgLS1N3nfkyBE8PDwwMjLC3Nwcb29vMjMzC6wzOjoaMzMzVq9eDcCNGzfo3r075ubmWFhY4OvrK5d98OBBypYty59//qlRxpgxY3B3d5c/x8bG4u7ujqGhITY2NowYMYLs7OyXnvu2bdto2LAhBgYGVKhQQWNayufDb1QqFQCdO3dGoVCgUqlIS0tDR0eHkydPapS5aNEiqlWrRnFfEVmxYgW9evWiV69erFixQitdoVCwdOlSfH19MTY2Zvr06VrfjaenJwqFQmvLv5bp6en4+vqiVCoxNTWlW7duGqv5hoaG4urqypo1a1CpVJiZmeHn58f9+/flPNHR0bRo0YJy5cphYWFBx44dSU1NLda5CoIgCIJQeolO/TvgwYMHrFu3Djs7OywsLIp8XGJiIp988gm1a9fm6NGjHD58GB8fH3Jzc7XyRkVF0a1bN1avXk2fPn34559/8PLyQqlUcvDgQQ4fPoxSqaRt27Y8fvwYd3d3bG1tWbNmjVzG06dPWbt2LX379gUgKSkJb29vunTpwunTp9m4cSOHDx9m+PDhhbZ5x44ddOnShQ4dOpCQkMDevXtp2LBhgXnj4uIAUKvVZGRkEBcXh0qlolWrVqjVao28arWawMDAYo2ep6amcvToUbp160a3bt2IjY3l8uXLWvkmT56Mr68vSUlJ9OvXTyt98+bN8q8uGRkZdOnSBQcHBywtLZEkiU6dOvHXX39x4MABdu/eTWpqKt27d9dqy9atW9m+fTvbt2/nwIEDhIWFyenZ2dmMHj2auLg49u7di46ODp07dyYvL6/Ac8vJyeHevXsamyAIgiAIpZeIqS8h27dvR6lUAs86bNbW1mzfvh0dnaI/Z3333Xc0bNiQxYsXy/tq166tlW/x4sV8/fXX/Pzzz3h5eQHPOvk6Ojr873//kzvCarWacuXKERMTQ5s2bejfvz9qtZrg4GDgWYf8n3/+oVu3bgDMnj0bf39/+WXcmjVrsnDhQjw8PFiyZAkGBgZabZkxYwZ+fn5MmTJF3le3bt0Cz69ixYoAlCtXDisrK3n/gAEDGDJkCHPnzkVfX59Tp06RmJhYpPCZ561cuZJ27dphbm4OPAuJWrlyJdOnT9fI5+/vr9GZv3LlikZ6+fLl5b/nzZvHvn37OH78OIaGhuzevZvTp09z5coVbGxsAFizZg21a9cmLi6ORo0aAc/m4I+MjMTExASA3r17s3fvXmbMmAHAZ599plHnihUrqFSpEsnJyTg7O2ud27fffqtxjQVBEARBKN3ESH0J8fLyIjExkcTERI4fP06bNm1o164dV69eLXIZ+SP1L7Np0yaCgoLYtWuX3KEHiI+P59KlS5iYmKBUKlEqlZQvX55Hjx7JYR2BgYFcunSJY8eOAc86wd26dZNfZI2PjycyMlI+XqlU4u3tTV5enlbHtzhtfpVOnTpRpkwZtmzZIrfLy8tLDtcpitzcXFatWkWvXr3kfb169WLVqlVav3QU9kvCi3777TfGjx/Pxo0bsbe3ByAlJQUbGxu5Qw/g5OREuXLlSElJkfepVCq5Qw9gbW3NrVu35M+pqan4+/tja2uLqakp1atXB56F9hRkwoQJZGVlydu1a9eKdA6CIAiCILyfxEh9CTE2NsbOzk7+3KBBA8zMzIiIiGD69OnyiP3zMeJPnjzRKKMoM7W4urry+++/o1aradSokTwqn5eXR4MGDVi3bp3WMfkj5JUqVcLHxwe1Wo2trS2//vorMTExcr68vDwGDx7MiBEjtMqoWrVqge0pSptfRU9Pj969e6NWq+nSpQvr168v9jSYO3fulN8peF5ubi67du2iXbt28r7nZ+MpTHJyMn5+foSFhdGmTRt5vyRJBYYEvbi/bNmyGukKhUIjtMbHxwcbGxsiIiKoXLkyeXl5ODs78/jx4wLbo6+vj76+/ivbLQiCIAhC6SA69e8IhUKBjo4ODx8+BP5fxzojI0MOD0lMTNQ4xsXFhb179740zKJGjRqEh4fj6emJrq4u33//PQD169dn48aNVKpU6aWLGQwYMAA/Pz+qVKlCjRo1aN68uZxWv359zp49q/Fw8ir5bc6Py3+VsmXLFviOwIABA3B2dmbx4sU8efJE42XbolixYgV+fn5MnDhRY39YWBgrVqzQ6NS/yt27d/Hx8aFLly6MGjVKI83JyYn09HSuXbsmj9YnJyeTlZWFo6NjkctPSUlh2bJltGzZEoDDhw8XuX2CIAiCIJR+olNfQnJycuSZZTIzM/n+++958OABPj4+ANjZ2WFjY0NoaCjTp0/n4sWLhIeHa5QxYcIE6tSpw9ChQxkyZAh6enrs37+frl27UqFCBTmfvb09+/fvx9PTkzJlyjB//nx69uzJ7Nmz8fX1ZerUqVSpUoX09HQ2b95McHAwVapUAcDb2xszMzOmT5/O1KlTNeofN24cTZs2ZdiwYQwcOBBjY2NSUlLYvXs3ixYtKvC8J0+ezCeffEKNGjXw8/Pj6dOn/Pbbb4wdO7bA/CqVir1799K8eXP09fXlBxxHR0eaNm3KuHHj6NevX7F+Abh9+za//PIL27Zt04pHDwgIoEOHDty+fVt+sHqVLl26YGhoSGhoqMZsQRUrVqRVq1a4uLjQs2dP5s+fz9OnTxk6dCgeHh5FDuvJn51o+fLlWFtbk56ezvjx44t8vs87M8VbrCgrCIIgCKWQiKkvIdHR0VhbW2NtbU2TJk2Ii4vjxx9/xNPTE3g2Qr1hwwbOnTtH3bp1mTVrltYLnPb29uzatYtTp07RuHFjmjVrxs8//0yZMtrPag4ODuzbt48NGzYwZswYjIyMOHjwIFWrVqVLly44OjrSr18/Hj58qNHp09HRITAwkNzcXPr06aNRpouLCwcOHODixYu0bNmSevXqERISgrW1daHn7enpyY8//si2bdtwdXXl448/5vjx44XmDw8PZ/fu3djY2FCvXj2NtP79+/P48eMCZ6RRqVSEhoYWWObq1asxNjYuMLbfy8sLExMTjVl/XuXgwYOcPXsWlUolf6fW1tZcu3YNhULB1q1bMTc3x93dnVatWmFra8vGjRuLXL6Ojg5RUVHEx8fj7OzMqFGjmD17dpGPFwRBEASh9FNIxZ3YW/jgDBw4kJs3b7Jt27aSboqGGTNmEBUVRVJSksb+hw8fUr58eX799VeNl4M/ZPfu3cPMzIysrCwxUi8IgiAI74ni/Pstwm+EQmVlZREXF8e6dev4+eefS7o5sgcPHpCSksKiRYuYNm2aVvqBAwf4+OOPRYdeEARBEIQPhgi/EQrl6+vLp59+yuDBg2ndunVJN0c2fPhwWrRogYeHR4GhN23btmXHjh0l0DJBEARBEISSIcJvBOEDIMJvBEEQBOH9U5x/v8VI/XsmLS0NhUKhNb1laRAYGEinTp1KuhnvhNDQUFxdXUu6GYIgCIIgvCdETH0xBQYG8vfff7N161aN/TExMXh5eZGZmUm5cuVKpG3vuwULFmgstuXp6Ymrq2uxF5Z6lbS0NKpXr07FihVJTU3VWMnV1dWVTp06FTpzzvvOefJOdPSNSroZQimWFtahpJsgCILwQRIj9R+gwlYhLWlmZmb/6QPR/fv3mTNnzn9WnyAIgiAIwtsiOvVvUWxsLO7u7hgaGmJjY8OIESPIzs6W01UqFTNnzqRfv36YmJhQtWpVli9frlHGiRMnqFevHgYGBjRs2JCEhAStepKTk2nfvj1KpRJLS0t69+7NnTt35HRPT0+GDx/O6NGjqVChgvzSa2hoKFWrVkVfX5/KlSszYsQI+ZjMzEz69OmDubk5RkZGtGvXjosXL8rpkZGRlCtXjp07d+Lo6IhSqaRt27ZkZGS89JqcPXuWDh06YGpqiomJCS1btiQ1NRXQDL8JDAzkwIEDLFiwAIVCgUKh4MqVK9jZ2Wl1xM+cOYOOjo5cTlF9+eWXzJ07l1u3bhWa5/Hjx4wdO5aPPvoIY2NjmjRpQkxMDPBsdiBDQ0Oio6M1jtm8eTPGxsY8ePAAeLZIl729PUZGRtja2hISEsKTJ080jgkLC8PS0hITExP69+/Po0ePNNLj4uJo3bo1FSpUwMzMDA8PD37//fdina8gCIIgCKWX6NS/JUlJSXh7e9OlSxdOnz7Nxo0bOXz4MMOHD9fIFx4eLnfWhw4dyhdffMG5c+cAyM7OpmPHjjg4OBAfH09oaChfffWVxvEZGRl4eHjg6urKyZMniY6O5ubNm3Tr1k0j36pVqyhTpgxHjhxh2bJl/PTTT8ybN49ly5Zx8eJFtm7dSp06deT8gYGBnDx5km3btnH06FEkSaJ9+/YandF//vmHOXPmsGbNGg4ePEh6erpW+55348YN3N3dMTAwYN++fcTHx9OvXz+ePn2qlXfBggU0a9aMgQMHkpGRQUZGBlWrVqVfv36o1WqNvCtXrqRly5bUqFHjFd+Kph49emBnZ6e1Uu7z+vbty5EjR4iKiuL06dN07dqVtm3bcvHiRczMzOjQoQPr1q3TOGb9+vX4+vqiVCoBMDExITIykuTkZBYsWEBERATz5s2T8//www9MnjyZGTNmcPLkSaytrVm8eLFGmffv3ycgIIBDhw5x7NgxatasSfv27bl//36B7c7JyeHevXsamyAIgiAIpZeY/aaYAgMDWbt2LQYGBhr7c3NzefTokRxT36dPHwwNDVm2bJmc5/Dhw3h4eJCdnY2BgQEqlYqWLVvKq5dKkoSVlRVTpkxhyJAhLF++nAkTJnDt2jWMjJ7FQS9dupQvvviChIQEXF1dmTRpEsePH2fnzp1yPdevX8fGxobz589jb2+Pp6cnWVlZGqP8c+fOZdmyZZw5c4ayZctqnMvFixext7fnyJEjuLm5AXD37l1sbGxYtWoVXbt2JTIykr59+3Lp0iW5M7148WKmTp3Kn3/+WeC1+/rrr4mKiuL8+fNadeZf2+ffVygopj4jIwMbGxtiY2Np3LgxT5484aOPPmL27NkEBAS89LvLlx9Tn5CQwM2bN/Hx8SElJYUaNWpoxNSnpqZSs2ZNrl+/TuXKleXjW7VqRePGjZk5cyZbtmyhT58+3Lx5EyMjI+7du4elpSWbNm2iffv2BdY/e/ZsNm7cyMmTJwFwc3Ojbt26LFmyRM7TtGlTHj16VOgL0bm5uZibm7N+/Xo6duyolR4aGsqUKVO09tsE/SBi6oW3SsTUC4IgvDli9pu3zMvLi8TERI3tf//7n0ae+Ph4IiMjUSqV8ubt7U1eXh5XrlyR87m4uMh/KxQKrKys5HCQlJQU6tatK3foAZo1a6ZVz/79+zXqqVWrFoBGOErDhg01juvatSsPHz7E1taWgQMHsmXLFnnEPCUlhTJlytCkSRM5v4WFBQ4ODqSkpMj7jIyMNEbHra2tXxrKkpiYSMuWLQvs0BeVtbU1HTp0YOXKlQBs376dR48e0bVr19cqz9vbmxYtWhASEqKV9vvvvyNJEvb29hrX98CBA/K17dChA2XKlJFX2920aRMmJia0adNGLuenn36iRYsWWFlZoVQqCQkJIT09XU5PSUnR+l5f/Hzr1i2GDBmCvb09ZmZmmJmZ8eDBA41ynjdhwgSysrLk7dq1a691fQRBEARBeD+I2W9eg7GxMXZ2dhr7rl+/rvE5Ly+PwYMHa8Sp56tatar894sdXIVCQV5eHgBF+RElLy8PHx8fZs2apZVmbW2t0ebn5Y/k7969mz179jB06FBmz57NgQMHCq1XkiQUCsVL2/6yNhsaGr7yfIpiwIAB9O7dm3nz5qFWq+nevbvGg09xhYWF0axZM4KDgzX25+XloaurS3x8PLq6uhpp+aE1enp6fP7556xfvx4/Pz/Wr19P9+7dKVPm2f9ax44dw8/PjylTpuDt7Y2ZmRlRUVGEh4cXq42BgYHcvn2b+fPnU61aNfT19WnWrFmhLz3r6+ujr69frDoEQRAEQXh/iU79W1K/fn3Onj2r1fkvDicnJ9asWcPDhw/lDvGxY8e06tm0aRMqlUruSBaVoaEhn376KZ9++inDhg2jVq1aJCUl4eTkxNOnTzl+/LhG+M2FCxdwdHR87fNxcXFh1apVPHnypEij9Xp6euTm5mrtb9++PcbGxixZsoTffvuNgwcPvnabABo3bkyXLl0YP368xv569eqRm5vLrVu3aNmyZaHH9+zZkzZt2nD27Fn279/PtGnT5LQjR45QrVo1Jk6cKO+7evWqxvGOjo4cO3aMPn36yPte/J4PHTrE4sWL5ZCea9euabwMLQiCIAjCh0106t+ScePG0bRpU4YNG8bAgQMxNjYmJSWF3bt3s2jRoiKV4e/vz8SJE+nfvz/ffPMNaWlpWjO/DBs2jIiICHr06EFwcDAVKlTg0qVLREVFERERoTXCnC8yMpLc3FyaNGmCkZERa9aswdDQkGrVqmFhYYGvry8DBw5k2bJlmJiYMH78eD766CN8fX1f+5oMHz6cRYsW4efnx4QJEzAzM+PYsWM0btwYBwcHrfwqlYrjx4+TlpaGUqmkfPny6OjooKurS2BgIBMmTMDOzk4rVOV1zJgxg9q1a2s8GNnb29OzZ0/69OlDeHg49erV486dO+zbt486derIHWwPDw8sLS3p2bMnKpWKpk2bymXY2dmRnp5OVFQUjRo1YseOHWzZskWj7pEjRxIQEEDDhg1p0aIF69at4+zZs9ja2mqUs2bNGho2bMi9e/cIDg5+rV8+zkzxFivKCoIgCEIpJGLq3xIXFxcOHDjAxYsXadmyJfXq1SMkJEQjJOZVlEolv/zyC8nJydSrV4+JEydqhdlUrlyZI0eOkJubi7e3N87OzowcORIzMzN0dAr/esuVK0dERATNmzfHxcWFvXv38ssvv2BhYQGAWq2mQYMGdOzYkWbNmiFJEr/++uu/ioe3sLBg3759PHjwAA8PDxo0aEBEREShZX711Vfo6uri5ORExYoVNeLH+/fvz+PHj+nXr5/WcYGBgXh6eharbfb29vTr109rKkm1Wk2fPn0YM2YMDg4OfPrppxw/fhwbGxs5j0KhoEePHpw6dYqePXtqHO/r68uoUaMYPnw4rq6uxMbGasXvd+/enUmTJjFu3DgaNGjA1atX+eKLLzTyrFy5kszMTOrVq0fv3r0ZMWIElSpVKtY5CoIgCIJQeonZb4T30pEjR/D09OT69etYWlpqpHl6euLp6VlqV4V9HcV5e14QBEEQhHdDcf79FuE3wnslJyeHa9euERISQrdu3bQ69Pfv3yc1NZXt27eXUAsFQRAEQRD+eyL8RnivbNiwAQcHB7Kysvjuu++00k1MTLh27Zo8O40gCIIgCMKHQITfCMIHQITfCIIgCML7p1QuPqVSqTRWFn2Rp6cnQUFBRS4vJiYGhULB33///a/b9i4p7nV4E9LS0lAoFIWuflpSxD0jCIIgCMKHosRj6q9du0ZoaCi//fYbd+7cwdramk6dOjFp0iR5JhbhmcePHzN//nzWrVvHxYsXMTIywsHBgQEDBtCrVy/Kli3L5s2bNWaTUalUBAUFvdWOvo2NDRkZGVSoUAF41vn18vIiMzOTcuXKvfH6xD3z+pwn70RH//UX6hKEV0kL61DSTRAEQfgglehI/eXLl2nYsCEXLlxgw4YNXLp0iaVLl7J3716aNWvGX3/9VZLNe6c8fvwYb29vwsLCGDRoELGxsZw4cYJhw4axaNEizp49C0D58uUxMTH5T9umq6uLlZVVsRe/eh3inhEEQRAEQdBWop36YcOGoaenx65du/Dw8KBq1aq0a9eOPXv2cOPGDY1VOF+kVqsxMzNj9+7dBaavXbuWhg0bYmJigpWVFf7+/ty6dUsrX3x8PA0bNsTIyAg3NzfOnz+vkb5kyRJq1KiBnp4eDg4OrFmzRiNdoVCwbNkyOnbsiJGREY6Ojhw9epRLly7h6emJsbExzZo1IzU1VT4mNTUVX19fLC0tUSqVNGrUiD179rz0Ws2fP5+DBw+yd+9ehg0bhqurK7a2tvj7+3P8+HFq1qwJaIaUeHp6cvXqVUaNGoVCoUChUJCdnY2pqSk//fSTRvm//PILxsbG3L9/v8D68/LymDVrFnZ2dujr61O1alVmzJgBaIbfpKWl4eXlBYC5uTkKhYLAwEBWr16NhYUFOTk5GuV+9tlnGiupvoq4Z4p+zwiCIAiC8OEosU79X3/9xc6dOxk6dKjWyphWVlb07NmTjRs3UtB7vHPmzOGrr75i586dtG7dusDyHz9+zLRp0zh16hRbt27lypUrBAYGauWbOHEi4eHhnDx5kjJlymgsZrRlyxZGjhzJmDFjOHPmDIMHD6Zv377s379fo4xp06bRp08fEhMTqVWrFv7+/gwePJgJEyZw8uRJ4NlqqvkePHhA+/bt2bNnDwkJCXh7e+Pj46OxuNKL1q1bR6tWrahXr55WWtmyZTE2Ntbav3nzZqpUqcLUqVPJyMggIyMDY2Nj/Pz8UKvVGnnVajWff/55oaP8EyZMYNasWYSEhJCcnMz69eu1ppOEZ6E4mzZtAuD8+fNkZGSwYMECunbtSm5uLtu2bZPz3rlzh+3bt9O3b99Cz/t54p4p+j2Tk5PDvXv3NDZBEARBEEqvEoupv3jxIpIk4ejoWGC6o6MjmZmZ3L59W2PlzAkTJrBq1SpiYmKoU6dOoeU/39GytbVl4cKFNG7cmAcPHmhMdzhjxgw8PDwAGD9+PB06dODRo0cYGBgwZ84cAgMDGTp0KACjR4/m2LFjzJkzRx6NBujbty/dunUDYNy4cTRr1oyQkBC8vb0BGDlypEbHtW7dutStW1f+PH36dLZs2cK2bds0OnIvXq/irpJavnx5dHV15ZHnfAMGDMDNzY0//viDypUry53rwkaw79+/z4IFC/j+++8JCAgAoEaNGrRo0UIrr66uLuXLlwegUqVKGjH1/v7+qNVqunbtCjx7UKlSpUqRz0vcM0W/Z7799lumTJlS6LkKgiAIglC6vLOz3+SPtioUCnlfeHg4y5Yt4/Dhwy/tnAEkJCTg6+tLtWrVMDExkTuOL45suri4yH9bW1sDyCEXKSkpNG/eXCN/8+bNSUlJKbSM/NHr59tnaWnJo0eP5NHS7Oxsxo4di5OTE+XKlUOpVHLu3LmXjtRLkqRxLf6Nxo0bU7t2bVavXg3AmjVrqFq1Ku7u7gXmT0lJIScnh08++eRf1Ttw4EB27drFjRs3gGe/DgQGBr6x8xL3zP8zYcIEsrKy5O3atWsvPXdBEARBEN5vJdapt7OzQ6FQkJycXGD6uXPnMDc3l2dUAWjZsiW5ubn88MMPLy07OzubNm3aoFQqWbt2LXFxcWzZsgV4FmLxvOdnisnvDObl5Wnty1dQ57qgMl5WbnBwMJs2bWLGjBkcOnSIxMRE6tSpo9W259nb22t1DP+NAQMGyCE4arWavn37Ftq5fjHU5XXVq1ePunXrsnr1an7//XeSkpIKDG8pjLhnin7P6OvrY2pqqrEJgiAIglB6lVj4jYWFBa1bt2bx4sWMGjVKo+P4559/sm7dOvr06aPRGWrcuDFffvkl3t7e6OrqEhwcXGDZ586d486dO4SFhWFjYwMgxykXh6OjI4cPH9Z4kTM2NrbQ8I+iOnToEIGBgXTu3Bl4Fi+dlpb20mP8/f35+uuvSUhI0Iqrf/r0KTk5OQXG1evp6ZGbm6u1v1evXowdO5aFCxdy9uxZOaymIDVr1sTQ0JC9e/cyYMCAV56fnp4eQIH1DhgwgHnz5nHjxg1atWolfz9FIe6Z4t0zBTkzxVt08AVBEAShFCrR8Jvvv/+enJwcvL29OXjwINeuXSM6OprWrVvz0UcfybOrPK9Zs2b89ttvTJ06lXnz5hVYbtWqVdHT02PRokVcvnyZbdu2MW3atGK3Lzg4mMjISJYuXcrFixeZO3cumzdv5quvvip2Wc+zs7Nj8+bNJCYmcurUKfz9/TVGegsSFBRE8+bN+eSTT/i///s/Tp06xeXLl/nhhx9o0qQJFy9eLPA4lUrFwYMHuXHjBnfu3JH3m5ub06VLF4KDg2nTpg1VqlQptG4DAwPGjRvH2LFjWb16NampqRw7dowVK1YUmL9atWooFAq2b9/O7du3efDggZzWs2dPbty4QUREhEYMe1GJe6bo94wgCIIgCB+OEu3U16xZk5MnT1KjRg26d+9OjRo1GDRoEF5eXhw9elR+4fJFzZs3Z8eOHYSEhLBw4UKt9IoVKxIZGcmPP/6Ik5MTYWFhzJkzp9jt69SpEwsWLGD27NnUrl2bZcuWoVari/3C6ovmzZuHubk5bm5u+Pj44O3tTf369V96jL6+Prt372bs2LEsW7aMpk2b0qhRIxYuXMiIESNwdnYu8LipU6eSlpZGjRo1qFixokZa//79efz4cZE61yEhIYwZM4ZJkybh6OhI9+7dC5zuEeCjjz5iypQpjB8/HktLS40XOU1NTfnss89QKpV06tRJ47j8qTFjYmIKbYe4Z4p+zwiCIAiC8OFQSAXN/yd8ENatW8fIkSP5448/5JCZ/0Lr1q1xdHTU6lzHxMTQuXNnLl++jLm5+X/Wng/BvXv3MDMzIysrS4TfCIIgCMJ7ojj/fpdYTL1Qcv755x+uXLnCt99+y+DBg/+zDv1ff/3Frl272LdvH99//71WenR0NF9//bXo0AuCIAiCIBST6NR/gL777jtmzJiBu7s7EyZM+M/qrV+/PpmZmcyaNQsHBwet9LCwsP+sLYIgCIIgCKWJCL8R3jqVSkVQUBBBQUFvpfyYmBi8vLzIzMzUWOxK+H9E+I0gCIIgvH+K8+/3O7v4lPB2xMbGoqurS9u2bd942ZGRkQV2quPi4hg0aNAbry+fm5sbGRkZmJmZvbQd/0b+S7wv20JDQ99onYIgCIIgCEUlwm8+MCtXruTLL7/kf//7H+np6VStWvWt1/nirDtvmp6eHlZWVm+1DhsbGzIyMuTPc+bMITo6mj179sj7lErlW23Dm+A8eSc6+kYl3QyhlEkL61DSTRAEQfjgiZH6D0h2djY//PADX3zxBR07diQyMlIjvaAR7q1bt2os5nTq1Cm8vLwwMTHB1NSUBg0acPLkSWJiYujbty9ZWVlaI9cqlYr58+fLZSgUCv73v//RuXNnjIyMqFmzJtu2bXtp23Nychg7diw2Njbo6+tTs2ZNeZ78mJgYFAoFf//9d6HtmDp1KnXq1NEqt0GDBkyaNOmV105XVxcrKyt5UyqVlClTRmPfjz/+iKOjIwYGBtSqVYvFixfLx/fr1w8XFxdycnIAePLkCQ0aNKBnz55ynnHjxmFvb4+RkRG2traEhITw5MmTV157QRAEQRAE0an/gGzcuBEHBwccHBzo1asXarWa4r5S0bNnT6pUqUJcXBzx8fGMHz+esmXL4ubmxvz58zE1NSUjI4OMjIyXLrg0ZcoUunXrxunTp2nfvj09e/bkr7/+KjR/nz59iIqKYuHChaSkpLB06dICR8YLa0e/fv1ITk4mLi5Oznv69GkSEhIIDAws1jUoSEREBBMnTmTGjBmkpKQwc+ZMQkJCWLVqFQALFy4kOzub8ePHA8/m/b9z545Gx9/ExITIyEiSk5NZsGABERERGotlFXbtBUEQBEEQRPjNB2TFihX06tULgLZt2/LgwQP27t1Lq1atilxGeno6wcHB1KpVC3i2GFQ+MzMzFApFkUJhAgMD6dGjBwAzZ85k0aJFnDhxosBY/wsXLvDDDz+we/duua22trYFlqunp1dgO5RKJd7e3qjVaho1agSAWq3Gw8Oj0LKKY9q0aYSHh9OlSxcAqlevTnJyMsuWLSMgIAClUsnatWvx8PDAxMSE8PBw9u7dK78HAPDNN9/If6tUKsaMGcPGjRsZO3Ys8PJr/6KcnBz5VwF49qKNIAiCIAillxip/0CcP3+eEydO4OfnB0CZMmXo3r07K1euLFY5o0ePZsCAAbRq1YqwsDBSU1Nfqz0uLi7y38bGxpiYmBS6Qm1iYiK6urp4eHi8Vl35Bg4cyIYNG3j06BFPnjxh3bp1RVpN91Vu377NtWvX6N+/P0qlUt6mT5+ucX2aNWvGV199xbRp0xgzZgzu7u4a5fz000+0aNFCDu8JCQkhPT1dTi/Otf/2228xMzOTNxsbm399noIgCIIgvLtEp/4DsWLFCp4+fcpHH31EmTJlKFOmDEuWLGHz5s1kZmYCoKOjoxWO83xMN0BoaChnz56lQ4cO7Nu3DycnJ7Zs2VLs9rwYNqJQKMjLyyswr6GhYbHLL4iPjw/6+vps2bKFX375hZycHD777LN/XW5+uyMiIkhMTJS3M2fOcOzYMY18R44cQVdXl4sXL2qUcezYMfz8/GjXrh3bt28nISGBiRMn8vjxYzlPca79hAkTyMrKkrdr16796/MUBEEQBOHdJTr1H4CnT5+yevVqwsPDNTqdp06dolq1aqxbtw54NkvN/fv3yc7Olo9NTEzUKs/e3p5Ro0axa9cuunTpglqtBp6FvuTm5r7x9tepU4e8vDwOHDhQpPyFtaNMmTIEBASgVqtRq9X4+flhZPTvZ4KxtLTko48+4vLly9jZ2Wls1atXl/PNnj2blJQUDhw4wM6dO+XrBnDkyBGqVavGxIkTadiwITVr1uTq1atadRV27V+kr6+PqampxiYIgiAIQuklYuo/ANu3byczM5P+/ftrxHADfP7556xYsYLhw4fTpEkTjIyM+Prrr/nyyy85ceKExgw5Dx8+JDg4mM8//5zq1atz/fp14uLi5NFulUolx+nXrVsXIyOjN9JpVqlUBAQE0K9fPxYuXEjdunW5evUqt27dolu3bgXmL6wdAwYMwNHREXjWkX5TQkNDGTFiBKamprRr146cnBxOnjxJZmYmo0ePJjExkUmTJvHTTz/RvHlzFixYwMiRI+WYfjs7O9LT04mKiqJRo0bs2LFDYxT+Vde+qM5M8RYdfEEQBEEojSSh1OvYsaPUvn37AtPi4+MlQIqPj5ckSZK2bNki2dnZSQYGBlLHjh2l5cuXS/m3SU5OjuTn5yfZ2NhIenp6UuXKlaXhw4dLDx8+lMsbMmSIZGFhIQHS5MmTJUmSpGrVqknz5s2T8wDSli1bNNphZmYmqdXqQs/h4cOH0qhRoyRra2tJT09PsrOzk1auXClJkiTt379fAqTMzMyXtiNfy5YtJScnJ6068su5cuVKoe3IN3nyZKlu3boa+9atWye5urpKenp6krm5ueTu7i5t3rxZevjwoeTk5CQNGjRII3/nzp0lNzc36enTp5IkSVJwcLBkYWEhKZVKqXv37tK8efMkMzMzSZKKdu1fJisrSwKkrKysIuUXBEEQBKHkFeffb4UkFXNOQ0F4j0mSRK1atRg8eDCjR4/WSIuMjGTGjBkkJyeXuqkii7PMtCAIgiAI74bi/Pstwm+ED8atW7dYs2YNN27coG/fvlrp0dHRzJw5s9R16AVBEARBKP1Ep174YFhaWlKhQgWWL1+Oubm5VnpUVFQJtEoQBEEQBOHfE5164YMhIs0EQRAEQSitxJSWwjvP09OToKCgkm4GkZGRlCtX7l+XExMTg0Kh4O+//37rdQmCIAiC8GEQnfr3lEKheOkWGBhY0k18YzZv3sy0adPkzyqVivnz57/xevI72y9u33zzzRutx83NjYyMDK3pRQVBEARBEF6XCL95T2VkZMh/b9y4kUmTJnH+/Hl535tahfVdUL58+f+0vvPnz2u8Ya5UKt9Y2U+ePEFPTw8rK6s3VmZxOE/eiY7+v187QBDSwjqUdBMEQRCE54iR+veUlZWVvJmZmaFQKOTPZcuWZciQIVSpUgUjIyPq1KnDhg0bNI739PTkyy+/JCgoCHNzcywtLVm+fDnZ2dn07dsXExMTatSowW+//SYfkz+SvWPHDurWrYuBgQFNmjQhKSlJznP37l169Ojx0roLcuTIETw8PDAyMsLc3Bxvb28yMzPltuaH33h6enL16lVGjRolj6RnZ2djamrKTz/9pFHmL7/8grGxMffv3y/Wta1UqZLG9X1Zp37JkiXUqFEDPT09HBwcWLNmjUa6QqFg6dKl+Pr6YmxszPTp0wsMv4mMjKRq1aoYGRnRuXNn7t69q1FOamoqvr6+WFpaolQqadSoEXv27CnWeQmCIAiCUHqJTn0p9OjRIxo0aMD27ds5c+YMgwYNonfv3hw/flwj36pVq6hQoQInTpzgyy+/5IsvvqBr1664ubnx+++/4+3tTe/evfnnn380jgsODmbOnDnExcVRqVIlPv30U548eVKsup+XmJjIJ598Qu3atTl69CiHDx/Gx8eH3NxcrbybN2+mSpUqTJ06lYyMDDIyMjA2NsbPzw+1Wq2RV61W8/nnn2NiYvK6l/KltmzZwsiRIxkzZgxnzpxh8ODB9O3bl/3792vkmzx5Mr6+viQlJdGvXz+tco4fP06/fv0YOnQoiYmJeHl5MX36dI08Dx48oH379uzZs4eEhAS8vb3x8fEhPT29wLbl5ORw7949jU0QBEEQhNJLLD5VCkRGRhIUFPTSFy87dOiAo6Mjc+bMAZ6NeOfm5nLo0CEAcnNzMTMzo0uXLqxevRqAP//8E2tra44ePUrTpk2JiYnBy8uLqKgounfvDsBff/1FlSpViIyMpFu3bkWq+0X+/v6kp6dz+PDhAtM9PT1xdXWV4+hVKhVBQUEaL8+eOHECNzc30tPTqVy5Mnfu3KFy5crs3r0bDw+PQq/L8/LPz9jYWGP/1atXsbCw0LrOzZs3p3bt2ixfvlzO261bN7Kzs9mxYwfwbKQ+KCiIefPmadWTmZlJuXLl8Pf3JzMzU+NXET8/P6Kjo1/6ndauXZsvvviC4cOHa6WFhoYyZcoUrf02QT+I8BvhjRDhN4IgCG9fcRafEiP1pVBubi4zZszAxcUFCwsLlEolu3bt0hrVdXFxkf/W1dXFwsKCOnXqyPssLS2BZ4s2Pa9Zs2by3+XLl8fBwYGUlJRi1f28/JH6f6Nx48bUrl1bfiBZs2YNVatWxd3dvdhlHTp0iMTERHkraE57gJSUFJo3b66xr3nz5vK1yNewYcOX1peSkqJxTQGtz9nZ2YwdOxYnJyfKlSuHUqnk3LlzhV7XCRMmkJWVJW/Xrl17aRsEQRAEQXi/iRdlS6Hw8HDmzZvH/PnzqVOnDsbGxgQFBfH48WONfC+unKpQKDT2KRQKAPLy8l5ZZ37eotb9vDf1Uu+AAQP4/vvvGT9+PGq1mr59+8rtKo7q1asXeTrJF8uXJElr34sj/y8qyo9lwcHB7Ny5kzlz5mBnZ4ehoSGff/55oddVX18ffX39V5YrCIIgCELpIEbqS6FDhw7h6+tLr169qFu3Lra2tly8ePGNlX/s2DH578zMTC5cuECtWrVeu24XFxf27t1b5Pr19PQKjLfv1asX6enpLFy4kLNnzxIQEFDkMl+Ho6OjVshQbGwsjo6OxSrHyclJ45oCWp8PHTpEYGAgnTt3pk6dOlhZWZGWlvZa7RYEQRAEofQRI/WlkJ2dHZs2bSI2NhZzc3Pmzp3Ln3/+WezOZmGmTp2KhYUFlpaWTJw4kQoVKtCpU6fXrnvChAnUqVOHoUOHMmTIEPT09Ni/fz9du3alQoUKWvlVKhUHDx7Ez88PfX19OY+5uTldunQhODiYNm3aUKVKlTdyvoUJDg6mW7du1K9fn08++YRffvmFzZs3F3tWmhEjRuDm5sZ3331Hp06d2LVrF9HR0Rp57Ozs2Lx5Mz4+PigUCkJCQor0C8qLzkzxfmVMniAIgiAI7x8xUl8KhYSEUL9+fby9vfH09MTKykrudL8JYWFhjBw5kgYNGpCRkcG2bdvQ09N77brt7e3ZtWsXp06donHjxjRr1oyff/6ZMmUKfuacOnUqaWlp1KhRg4oVK2qk9e/fn8ePHxc4y4ynp+cbXZSrU6dOLFiwr998sQAAI7dJREFUgNmzZ1O7dm2WLVuGWq3G09OzWOU0bdqU//3vfyxatAhXV1d27dqlteDVvHnzMDc3x83NDR8fH7y9valfv/4bOxdBEARBEN5vYvYbochenLXlXbRu3TpGjhzJH3/8IT9o5FOpVISGhpaq1XaLqjhvzwuCIAiC8G4ozr/fIvxGKBX++ecfrly5wrfffsvgwYO1OvTnzp3DxMSEPn36lFALBUEQBEEQ3h4RfiOUCt999x2urq5YWloyYcIErfRatWqRlJSEjo645QVBEARBKH1E+I0gfABE+I0gCIIgvH/E4lNCqRUaGoqrq2tJN6PYFAoFW7duBSAtLQ2FQkFiYmKJtkkQBEEQhNLjg42pj42NpWXLlrRu3Vpr+sCSEhoaytatW9+Lzl5oaChTpkxh8ODBLF26VN6fmJhIvXr1uHLlCiqV6l/VoVAo2LJlyxuZuUeSJCIiIlixYgVnz56lTJky2NnZ0atXLwYNGoSRkdG/rqOobGxsyMjIKHC6zrfNefJOdPT/u3MV3j9pYR1KugmCIAjCa/hgR+pXrlzJl19+yeHDh0lPTy/p5ryXDAwMWLFiBRcuXHij5b5s9dnX1bt3b4KCgvD19WX//v0kJiYSEhLCzz//zK5du1673CdPnhT7GF1dXaysrAqdslMQBEEQBKG4PshOfXZ2Nj/88ANffPEFHTt2JDIyUiM9JiYGhULBjh07qFu3LgYGBjRp0oSkpCSNfLGxsbi7u2NoaIiNjQ0jRowgOzsbgNWrV6NUKjVWU/3yyy+xt7eX8zwvMjKSKVOmcOrUKRQKBQqFQm5Xeno6vr6+KJVKTE1N6datGzdv3gQgKysLXV1d4uPjgWcj0uXLl6dRo0Zy2Rs2bMDa2hr4f6EfmzdvxsvLCyMjI+rWrcvRo0eLfR0dHBzw8vLSmlP9RQcOHKBx48bo6+tjbW3N+PHjefr0qZzu6enJ8OHDGT16NBUqVKB169byKH/nzp1RKBRao/5r1qxBpVJhZmaGn58f9+/fL7T+H374gXXr1rFhwwa+/vprGjVqhEqlwtfXl3379uHl5QVAXFwcrVu3pkKFCpiZmeHh4cHvv/+uUZZCoWDp0qX4+vpibGzM9OnTAViyZAk1atRAT08PBwcH1qxZU2h7Xgy/yb/f9u7dS8OGDTEyMsLNzY3z58/Lx6SmpuLr64ulpSVKpZJGjRoVe5ErQRAEQRBKrw+yU79x40YcHBxwcHCgV69eqNVqCnpfODg4mDlz5hAXF0elSpX49NNP5ZHZpKQkvL296dKlC6dPn2bjxo0cPnyY4cOHA9CnTx/at29Pz549efr0KdHR0Sxbtox169ZhbGysVVf37t0ZM2YMtWvXJiMjg4yMDLp3744kSXTq1Im//vqLAwcOsHv3blJTU+nevTsAZmZmuLq6EhMTA8Dp06fl/967dw941mn08PDQqG/ixIl89dVXJCYmYm9vT48ePTQ62kUVFhbGpk2biIuLKzD9xo0btG/fnkaNGnHq1CmWLFnCihUr5M5wvlWrVlGmTBmOHDnCsmXL5PLUajUZGRka5aemprJ161a2b9/O9u3bOXDgAGFhYYW2cd26dTg4OODr66uVplAoMDMzA+D+/fsEBARw6NAhjh07Rs2aNWnfvr3WA8PkyZPx9fUlKSmJfv36sWXLFkaOHMmYMWM4c+YMgwcPpm/fvuzfv79oF/H/N3HiRMLDwzl58iRlypTRWEDrwYMHtG/fnj179pCQkIC3tzc+Pj6F/sqUk5PDvXv3NDZBEARBEEqvD7JTv2LFCnr16gVA27ZtefDgAXv37tXKN3nyZFq3bk2dOnVYtWoVN2/eZMuWLQDMnj0bf39/goKCqFmzJm5ubixcuJDVq1fz6NEjAJYtW0ZGRgYjRowgMDCQyZMna4ygP8/Q0BClUkmZMmWwsrLCysoKQ0ND9uzZw+nTp1m/fj0NGjSgSZMmrFmzhgMHDsgdXU9PT7lTHxMTwyeffIKzszOHDx+W9724yulXX31Fhw4dsLe3Z8qUKVy9epVLly4V+1rWr1+fbt26MX78+ALTFy9ejI2NDd9//z21atWiU6dOTJkyhfDwcPLy8uR8dnZ2fPfddzg4OFCrVi15pdhy5cphZWWlsXJsXl4ekZGRODs707JlS3r37l3g95fv4sWLODg4vPJcPv74Y3r16oWjoyOOjo4sW7aMf/75hwMHDmjk8/f3p1+/ftja2lKtWjXmzJlDYGAgQ4cOxd7entGjR9OlSxfmzJnzyjqfN2PGDDw8PHBycmL8+PHExsbK91LdunUZPHgwderUoeb/196dhzV1rH8A/0YhAUmIILsCQSMqsgjEJaBC3HCjorh7vXJdkeJSK64XodYFt6q1t7a1uD5a9V43tFZFK4hFq7IoCqJXQVBBrBcCuODC/P7w4fwMhMUF8OD7eZ48T5wzOfO+Z57SyWTOnNatsWTJErRs2RJRUVFaz7V8+XJIpVLuZW1t/VaxEEIIIYRfPrlBfXp6Oi5cuICRI0cCAHR0dDBixAhs3ry5Ql2lUsm9NzY2Rps2bZCWlgYASEhIwNatWyEWi7mXj48PSktLkZGRAQAwMjJCZGQktzSjsoFvVdLS0mBtba0xKHNwcEDTpk25WLy9vREXF4fS0lLExsbC29sb3t7eiI2NRW5uLm7cuFFhpt7Z2Zl7X7Y0Jy8v763jA4AlS5YgLi5O69r0tLQ0KJVKCAQCrszT0xPFxcW4e/cuV6ZQKGrcnkwmg0Qi4f5taWlZZeyMMY32K5OXl4fAwEDY29tzg+Hi4uIKs+HlY01LS4Onp6dGmaenJ9c/NVVVnzx+/Bhz5szh+l4sFuP69euVztTPnz8farWae2VnZ79VLIQQQgjhl0/uTr3IyEi8fPkSzZs358oYY9DV1UV+fj6MjIyq/HzZ4LC0tBRTpkzB9OnTK9SxsbHh3p85cwaNGzfG/fv38fjx47feI7yyAemb5d27d0dRURESExMRFxeHr7/+GtbW1li2bBk6dOgAMzMztGvXTuPzurq6WnN6F61atcKkSZMwb948REZGVht/2VKnN8u1LUmqzJuxl52nqtjt7e1rNMAOCAjAw4cPsW7dOtja2kIkEkGpVFa4cVdbrNpyrMkXiTdV1SchISE4fvw4Vq9eDblcDn19fQwdOrTSm4pFIhFEItFbtU8IIYQQ/vqkZupfvnyJ7du3Y82aNUhOTuZely9fhq2tLXbu3KlR//z589z7/Px83LhxA23btgXwetnJtWvXIJfLK7yEQiGA1zfSrly5EocPH4ahoSGmTZtWZXxCoRCvXr3SKHNwcEBWVpbGTGtqairUajU3UC9bV//dd99BIBDAwcEB3bp1Q1JSEo4cOVJhlr42LFq0CDdu3MDu3bsrxB8fH69xz0J8fDwkEonGFyttdHV1K1yPdzF69GjcuHEDhw4dqnCMMQa1Wg0AiIuLw/Tp09G/f3+0b98eIpEIf/31V7Xnb9euHbfUqUx8fHyFL1LvIy4uDgEBARg8eDCcnJxgYWGBzMzMD3Z+QgghhPDbJzVTf+TIEeTn52PChAnczZFlhg4disjISO5GVwBYvHgxmjVrBnNzcyxcuBAmJibcnulz585Fly5d8Pnnn2PSpEkwMDBAWloaoqOjsWHDBhQVFWHs2LGYNm0a+vXrBxsbGygUCgwcOBDDhg3TGp9MJkNGRgaSk5PRokULSCQS9OrVC87OzhgzZgzWrVuHly9fIigoCF5eXhrLQLy9vbF+/XputxgjIyM4ODhgz549+Pbbbz/8xSzH3Nwcs2bNwqpVqzTKg4KCsG7dOkybNg3BwcFIT09HWFgYZs2ahUaNqv5OKZPJcOrUKXh6ekIkElX7K0plhg8fjgMHDmDUqFEIDQ1F7969YWpqipSUFKxduxbTpk2Dn58f5HI5duzYAYVCgcLCQoSEhEBfX7/a84eEhGD48OFwc3NDz549cfjwYezfv/+D7k4jl8uxf/9++Pr6QiAQIDQ09J1+Wbn6lQ89UZYQQghpgD6pmfrIyEj06tWrwoAeAPz9/ZGcnKyxhWFERARmzJgBd3d35OTkICoqipuFd3Z2RmxsLG7evIlu3brB1dUVoaGh3FroGTNmwMDAAMuWLQMAtG/fHitWrEBgYCDu3bunNT5/f3/07dsXKpUKpqam+OWXX7gnkRoZGaF79+7o1asXWrZsiT179mh8VqVS4dWrVxo3xHp5eeHVq1fvNFP/5paaNRUSEgKxWKxR1rx5cxw9ehQXLlyAi4sLAgMDMWHChGq3wQSANWvWIDo6GtbW1nB1dX2rWN4kEAiwa9cufPPNNzhw4AC8vLzg7OyM8PBwDBo0CD4+PgBeP7sgPz8frq6uGDt2LKZPnw4zM7Nqz+/n54f169dj1apVaN++PX788Uds2bKlws3J72Pt2rUwMjKCh4cHfH194ePjAzc3tw92fkIIIYTwm4Bp28vxExcTEwOVSoX8/Hw0bdq0vsOpc5mZmWjdujVSU1PRunXr+g6HfACFhYWQSqVQq9U0U08IIYTwxNv8//uTmqknNXPs2DFMnjyZBvSEEEIIITzxSa2pJzUTGBhY3yEQQgghhJC3QIN6Lby9vbU+YZYQQgghhJCPES2/4SmZTIZ169bV2vnDw8PRoUOHWjt/fapJbt7e3pg5c2adxEMIIYQQ8r5opr4G8vLyEBoait9++w0PHjyAkZERXFxcEB4ervHU2fclk8kwc+ZMjcHk1q1bMXPmTBQUFHywdmpi9uzZGvvqBwQEoKCgAAcPHvyg7XTp0gWurq7YuHEjV7Zx40YEBQXh559/xoQJE7jyCRMmIC0tDfHx8R80Bm32799f4SFX7+tjuAHbMew4Goma1Evb5OOXGTGgvkMghBDyjmimvgb8/f1x+fJlbNu2DTdu3EBUVBS8vb3xv//9r75DqzVisRjNmjWr9XZUKhVOnz6tURYTEwNra2ut5SqVqtZjAgBjY2NIJJI6aYsQQggh5H3RoL4aBQUFOHv2LFasWAGVSgVbW1t06tQJ8+fPx4AB/z+rpVarMXnyZJiZmcHQ0BA9evTA5cuXueO3bt3CoEGDYG5uDrFYjI4dO2o8nMjb2xt37tzBF198AYFAAIFAgJiYGPzjH/+AWq3mysLDw7XGWV372ty9excjR46EsbExDAwMoFAo8OeffwLQXKISHh6Obdu24dChQxqx9ejRQ+NhXQDw6NEjiEQi/P777zW6viqVCunp6cjJyeHKYmNjMX/+fMTExHBl2dnZuH37Nrcf/4QJE2BnZwd9fX20adMG69ev1zhvTEwMOnXqBAMDAzRt2hSenp64c+eORp0dO3ZAJpNBKpVi5MiRKCoq4o6VX34jk8mwbNkyjB8/HhKJBDY2Nvjpp580zhcfH48OHTpAT08PCoUCBw8ehEAgQHJyMjIzM7kvJEZGRhAIBAgICAAAlJSUcHvi6+npoWvXrrh48aJGLgKBAKdOnYJCoUCTJk3g4eGB9PT0Gl1jQgghhDR8NKivhlgshlgsxsGDB1FSUqK1DmMMAwYMQG5uLo4ePYqEhATu6aJls/nFxcXo378/Tp48iaSkJPj4+MDX1xdZWVkAXi/3aNGiBRYvXoycnBzk5OTAw8MD69atg6GhIVc2e/bsd2q/vOLiYnh5eeH+/fuIiorC5cuXMWfOHK1PKZ09ezaGDx+Ovn37asQ2ceJE7Nq1S+O67Ny5E1ZWVjWeUff09ISuri43gE9NTcXTp08xfvx4FBYW4ubNmwCA06dPQygUwsPDA6WlpWjRogX27t2L1NRULFq0CAsWLMDevXsBAC9fvoSfnx+8vLxw5coVnDt3DpMnT4ZAIODavXXrFg4ePIgjR47gyJEjiI2NRURERJWxrlmzBgqFAklJSQgKCsLUqVNx/fp1AEBRURF8fX3h5OSExMREfP3115g7dy73WWtra+zbtw8AuC8xZV9E5syZg3379mHbtm1ITEyEXC6Hj49Phb5buHAh1qxZg0uXLkFHRwfjx4+vNNaSkhIUFhZqvAghhBDScNGgvho6OjrYunUrtm3bxs34LliwAFeuXOHqnD59GikpKfj3v/8NhUKB1q1bY/Xq1WjatCn+85//AABcXFwwZcoUODk5oXXr1liyZAlatmyJqKgoAK+XezRu3BgSiQQWFhawsLCAUCiEVCqFQCDgyso/sbWm7Ze3a9cuPHz4EAcPHkTXrl0hl8sxfPhwrfcIiMVi6OvrQyQSacTm7+8PgUCAQ4cOcXW3bNmCgIAAjQF0VQwMDNCxY0duUB8TE4OuXbtCJBLB09NTo7xz585o0qQJdHV18dVXX6Fjx46ws7PDmDFjEBAQwA3qCwsLoVarMXDgQLRq1Qrt2rXDuHHjYGNjw7VbWlqKrVu3wtHREd26dcPYsWNx6tSpKmPt378/goKCIJfLMXfuXJiYmHDx7dy5EwKBAJs2bYKDgwP69euHkJAQ7rONGzeGsbExAMDMzAwWFhaQSqV4/PgxNm7ciFWrVqFfv35wcHDApk2boK+vj8jISI32ly5dCi8vLzg4OGDevHmIj4/Hs2fPtMa6fPlySKVS7mVtbV2j/iCEEEIIP9Ggvgb8/f25GW0fHx/ExMTAzc0NW7duBQAkJCSguLgYzZo142b2xWIxMjIycOvWLQDA48ePMWfOHDg4OKBp06YQi8W4fv06N1P/PmrSfnnJyclwdXXlBprvQiQS4W9/+xs2b97MnfPy5cvcspKaUqlUGoN3b29vAICXl5dGeY8ePbjP/PDDD1AoFDA1NYVYLMamTZu4a2lsbIyAgADu15D169drLO8BXi+neXPNvKWlJfLy8qqM09nZmXtf9kWr7DPp6elwdnaGnp4eV6dTp07V5n7r1i28ePECnp6eXJmuri46deqEtLS0Stu3tLQEgEpjnj9/PtRqNffKzs6uNhZCCCGE8BftflNDenp66N27N3r37o1FixZh4sSJCAsLQ0BAAEpLS2FpaamxBrxM2S4nISEhOH78OFavXg25XA59fX0MHToUz58/f+/YatJ+efr6+u/dLgBMnDgRHTp0wN27d7F582b07NkTtra2b3UOlUqFpUuX4t69e4iNjeWWGHl5eWHDhg3IyspCRkYGt6Rn7969+OKLL7BmzRoolUpIJBKsWrWKux8AeP2LwfTp03Hs2DHs2bMH//znPxEdHY0uXboAQIWdbQQCgdalR2+q6jOMsQq/TtTkWQdldbR9tnzZm+2XHassZpFIBJFIVG37hBBCCGkYaKb+HTk4OODx48cAADc3N+Tm5kJHRwdyuVzjZWJiAgCIi4tDQEAABg8eDCcnJ1hYWCAzM1PjnEKhEK9evaq2rLyatF+es7MzkpOTa7yDT2VxODk5QaFQYNOmTdi1a1eV67wr4+HhAZFIhO+//x5Pnz6Fu7s7AEChUECtVuPHH3+Enp4eNyCPi4uDh4cHgoKC4OrqCrlcrvUXCVdXV8yfPx/x8fFwdHTErl273jq2mmrbti2uXLmicX/BpUuXNOoIhUIA0LiOcrkcQqEQZ8+e5cpevHiBS5cuoV27drUWLyGEEEIaFpqpr8ajR48wbNgwjB8/Hs7OzpBIJLh06RJWrlyJQYMGAQB69eoFpVIJPz8/rFixAm3atMH9+/dx9OhR+Pn5QaFQQC6XY//+/fD19YVAIEBoaGiFWVaZTIYzZ85g5MiREIlEMDExgUwmQ3FxMU6dOgUXFxc0adIETZpo7jNek/bLGzVqFJYtWwY/Pz8sX74clpaWSEpKgpWVldZ19TKZDMePH0d6ejqaNWsGqVTKzRxPnDgRwcHBaNKkCQYPHvzW11hfXx+dO3fGhg0b4OnpicaNGwN4PTOtVCqxYcMGbuAPvB4Ib9++HcePH4ednR127NiBixcvws7ODgCQkZGBn376CZ999hmsrKyQnp6OGzdu4O9///tbx1ZTo0ePxsKFCzF58mTMmzcPWVlZWL16NYD/n1W3tbWFQCDAkSNH0L9/f+jr60MsFmPq1KkICQmBsbExbGxssHLlSjx58kRjj/4P5epXPjA0NPzg5yWEEEJI/aKZ+mqIxWJ07twZa9euRffu3eHo6IjQ0FBMmjQJ3333HYDXg7ajR4+ie/fuGD9+POzt7TFy5EhkZmbC3NwcALB27VoYGRnBw8MDvr6+8PHxgZubm0ZbixcvRmZmJlq1agVTU1MAr2exAwMDMWLECJiammLlypUVYqxJ++UJhUKcOHECZmZm6N+/P5ycnBAREcENqMubNGkS2rRpw61j/+OPP7hjo0aNgo6ODkaPHq2xphx4vR2mTCar9jqrVCoUFRVx6+nLeHl5oaioSGM3ncDAQAwZMgQjRoxA586d8ejRIwQFBXHHmzRpguvXr8Pf3x/29vaYPHkygoODMWXKlGrjeFeGhoY4fPgwkpOT0aFDByxcuBCLFi0CAO6aNG/eHF999RXmzZsHc3NzbjvQiIgI+Pv7Y+zYsXBzc8N///tfHD9+HEZGRrUWLyGEEEIaFgGrycJfQqqQnZ0NmUyGixcvVviiUnbTbNlNxZ+SnTt3cs8Z+FD3MLwrtVqNpk2bIjs7m2bqCSGEEJ4oLCyEtbU1CgoKIJVKq6xLy2/IO3vx4gVycnIwb948dOnSpcKAHnj9IKkzZ87UQ3R1b/v27WjZsiWaN2+Oy5cvY+7cuRg+fHi9D+iB18vIANDWloQQQggPFRUV0aCe1J4//vgDKpUK9vb2le6Hn5GRUcdR1Z/c3FwsWrQIubm5sLS0xLBhw7B06dL6DgsAuK1Ls7Kyqv2jwEdlMxkN9ZcIyo/fKD9+o/z4qyHkxhhDUVERrKysqq1Ly28I+QQUFhZCKpVCrVbz9g9bVSg/fqP8+I3y47eGnF9Dzk0bulGWEEIIIYQQnqNBPSGEEEIIITxHg3pCPgEikQhhYWEN9imzlB+/UX78RvnxW0POryHnpg2tqSeEEEIIIYTnaKaeEEIIIYQQnqNBPSGEEEIIITxHg3pCCCGEEEJ4jgb1hBBCCCGE8BwN6gn5BHz//fews7ODnp4e3N3dERcXV98haQgPD4dAINB4WVhYcMcZYwgPD4eVlRX09fXh7e2Na9euaZyjpKQE06ZNg4mJCQwMDPDZZ5/h7t27GnXy8/MxduxYSKVSSKVSjB07FgUFBR88nzNnzsDX1xdWVlYQCAQ4ePCgxvG6zCcrKwu+vr4wMDCAiYkJpk+fjufPn9dqfgEBARX6s0uXLrzJb/ny5ejYsSMkEgnMzMzg5+eH9PR0jTp87sOa5MfXPty4cSOcnZ1haGgIQ0NDKJVK/Pbbb9xxPvdbTfLja79VZvny5RAIBJg5cyZXxvc+rFWMENKg7d69m+nq6rJNmzax1NRUNmPGDGZgYMDu3LlT36FxwsLCWPv27VlOTg73ysvL445HREQwiUTC9u3bx1JSUtiIESOYpaUlKyws5OoEBgay5s2bs+joaJaYmMhUKhVzcXFhL1++5Or07duXOTo6svj4eBYfH88cHR3ZwIEDP3g+R48eZQsXLmT79u1jANiBAwc0jtdVPi9fvmSOjo5MpVKxxMREFh0dzaysrFhwcHCt5jdu3DjWt29fjf589OiRRp2POT8fHx+2ZcsWdvXqVZacnMwGDBjAbGxsWHFxMVeHz31Yk/z42odRUVHs119/Zenp6Sw9PZ0tWLCA6erqsqtXrzLG+N1vNcmPr/2mzYULF5hMJmPOzs5sxowZXDnf+7A20aCekAauU6dOLDAwUKOsbdu2bN68efUUUUVhYWHMxcVF67HS0lJmYWHBIiIiuLJnz54xqVTKfvjhB8YYYwUFBUxXV5ft3r2bq3Pv3j3WqFEjduzYMcYYY6mpqQwAO3/+PFfn3LlzDAC7fv16LWT1WvlBb13mc/ToUdaoUSN27949rs4vv/zCRCIRU6vVtZIfY68HFoMGDar0M3zKjzHG8vLyGAAWGxvLGGt4fVg+P8YaVh8aGRmxn3/+ucH1W/n8GGs4/VZUVMRat27NoqOjmZeXFzeob6h9+KHQ8htCGrDnz58jISEBffr00Sjv06cP4uPj6ykq7W7evAkrKyvY2dlh5MiRuH37NgAgIyMDubm5GjmIRCJ4eXlxOSQkJODFixcadaysrODo6MjVOXfuHKRSKTp37szV6dKlC6RSaZ1ei7rM59y5c3B0dISVlRVXx8fHByUlJUhISKjVPGNiYmBmZgZ7e3tMmjQJeXl53DG+5adWqwEAxsbGABpeH5bPrwzf+/DVq1fYvXs3Hj9+DKVS2eD6rXx+ZfjebwDw+eefY8CAAejVq5dGeUPrww9Np74DIITUnr/++guvXr2Cubm5Rrm5uTlyc3PrKaqKOnfujO3bt8Pe3h4PHjzAkiVL4OHhgWvXrnFxasvhzp07AIDc3FwIhUIYGRlVqFP2+dzcXJiZmVVo28zMrE6vRV3mk5ubW6EdIyMjCIXCWs25X79+GDZsGGxtbZGRkYHQ0FD06NEDCQkJEIlEvMqPMYZZs2aha9eucHR05Noti7d8/HzrQ235Afzuw5SUFCiVSjx79gxisRgHDhyAg4MDN1jje79Vlh/A734rs3v3biQmJuLixYsVjjWk//ZqAw3qCfkECAQCjX8zxiqU1ad+/fpx752cnKBUKtGqVSts27aNu8nrXXIoX0db/fq6FnWVT33kPGLECO69o6MjFAoFbG1t8euvv2LIkCGVfu5jzC84OBhXrlzB2bNnKxxrCH1YWX587sM2bdogOTkZBQUF2LdvH8aNG4fY2NhK2+Nbv1WWn4ODA6/7DQCys7MxY8YMnDhxAnp6epXW43sf1hZafkNIA2ZiYoLGjRtXmFXIy8urMAPxMTEwMICTkxNu3rzJ7YJTVQ4WFhZ4/vw58vPzq6zz4MGDCm09fPiwTq9FXeZjYWFRoZ38/Hy8ePGiTnO2tLSEra0tbt68ycXFh/ymTZuGqKgonD59Gi1atODKG0ofVpafNnzqQ6FQCLlcDoVCgeXLl8PFxQXr169vMP1WWX7a8KnfgNdLZ/Ly8uDu7g4dHR3o6OggNjYW3377LXR0dLhz870PawsN6glpwIRCIdzd3REdHa1RHh0dDQ8Pj3qKqnolJSVIS0uDpaUl7OzsYGFhoZHD8+fPERsby+Xg7u4OXV1djTo5OTm4evUqV0epVEKtVuPChQtcnT///BNqtbpOr0Vd5qNUKnH16lXk5ORwdU6cOAGRSAR3d/dazfNNjx49QnZ2NiwtLQF8/PkxxhAcHIz9+/fj999/h52dncZxvvdhdflpw7c+LJ9vSUkJ7/utuvy04Vu/9ezZEykpKUhOTuZeCoUCY8aMQXJyMlq2bNkg+/CDqeUbcQkh9axsS8vIyEiWmprKZs6cyQwMDFhmZmZ9h8b58ssvWUxMDLt9+zY7f/48GzhwIJNIJFyMERERTCqVsv3797OUlBQ2atQorVuYtWjRgp08eZIlJiayHj16aN3CzNnZmZ07d46dO3eOOTk51cqWlkVFRSwpKYklJSUxAOybb75hSUlJ3DaidZVP2ZZsPXv2ZImJiezkyZOsRYsW770lW1X5FRUVsS+//JLFx8ezjIwMdvr0aaZUKlnz5s15k9/UqVOZVCplMTExGlsDPnnyhKvD5z6sLj8+9+H8+fPZmTNnWEZGBrty5QpbsGABa9SoETtx4gRjjN/9Vl1+fO63qry5+w1j/O/D2kSDekI+Af/617+Yra0tEwqFzM3NTWPruo9B2T7Durq6zMrKig0ZMoRdu3aNO15aWsrCwsKYhYUFE4lErHv37iwlJUXjHE+fPmXBwcHM2NiY6evrs4EDB7KsrCyNOo8ePWJjxoxhEomESSQSNmbMGJafn//B8zl9+jQDUOE1bty4Os/nzp07bMCAAUxfX58ZGxuz4OBg9uzZs1rL78mTJ6xPnz7M1NSU6erqMhsbGzZu3LgKsX/M+WnLDQDbsmULV4fPfVhdfnzuw/Hjx3N/60xNTVnPnj25AT1j/O636vLjc79Vpfygnu99WJsEjDFWd78LEEIIIYQQQj40WlNPCCGEEEIIz9GgnhBCCCGEEJ6jQT0hhBBCCCE8R4N6QgghhBBCeI4G9YQQQgghhPAcDeoJIYQQQgjhORrUE0IIIYQQwnM0qCeEEEIIIYTnaFBPCCGEEEIIz9GgnhBCCCGEEJ6jQT0hhBBCCCE8R4N6QgghhBBCeO7/ACjaGLj2bxDmAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "(\n",
    "    pop_2020_2022\n",
    "    .loc[~pop_2020_2022[\"NAME\"].str.contains('Louisville/Jefferson')]\n",
    "    .sort_values(\"rank\")\n",
    "    .head(25)\n",
    "    .set_index('NAME')[0]\n",
    "    .sort_values()\n",
    "    .plot(kind='barh')\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Which cities are projected to add the most population?\n",
    "Using a linear regression model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy\n",
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "projection_years = list(range(2023, 2031))\n",
    "df_projection = df.copy().dropna()\n",
    "\n",
    "# Fit a linear model and project for each row\n",
    "for index, row in df.dropna().iterrows():\n",
    "    # Prepare the data for linear regression\n",
    "    X = numpy.array(years).reshape(-1, 1)\n",
    "    y = row.values.reshape(-1, 1)\n",
    "    \n",
    "    # Fit the linear regression model\n",
    "    model = LinearRegression()\n",
    "    model.fit(X, y)\n",
    "    \n",
    "    # Predict the values for the projection years\n",
    "    X_proj = numpy.array(projection_years).reshape(-1, 1)\n",
    "    y_proj = model.predict(X_proj)\n",
    "    \n",
    "    # Add the projected values to the DataFrame\n",
    "    for i, year in enumerate(projection_years):\n",
    "        df_projection.at[index, year] = y_proj[i, 0]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "state  place  NAME                          \n",
       "48     65000  San Antonio city, Texas           235354.795666\n",
       "       35000  Houston city, Texas               225547.654283\n",
       "       27000  Fort Worth city, Texas            217776.252838\n",
       "       05000  Austin city, Texas                202034.137255\n",
       "37     12000  Charlotte city, North Carolina    187499.764018\n",
       "04     55000  Phoenix city, Arizona             167830.839009\n",
       "06     44000  Los Angeles city, California      142183.228414\n",
       "53     63000  Seattle city, Washington          139757.440660\n",
       "06     66000  San Diego city, California        136384.820777\n",
       "39     18000  Columbus city, Ohio               134514.369797\n",
       "dtype: float64"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(df_projection[2030] - df_projection[2020]).sort_values(ascending=False).head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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